P. Exner - a list of

RESEARCH AND REVIEW PAPERS

Non-journal publications such as contributions to conference proceedings are included if they appear before a paper with a substantial time gap, if the topic is not covered by a journal publication, or they present a wider survey. For papers before 2024, the two e-print versions may differ, because the Austin archive lacked a replacement facility preserving the number, hence minor prepublication changes were (and are) typically done in the ArXiv version only. Links to the abstracts can be used to download full texts as they appeared in print, even for pre-electronic age papers, if the paper is open-access type or your library subscribes the particular journal.
  • [333] M. Baradaran, P. Exner, A. Khrabustovskyi:
    Quantum lattice transport along an infinitely extended perturbation,
    submitted to J. Phys. A.: Math. Theor. [arXiv:2412.20919 [math.SP]]
  • [332] P. Exner, J. Rohleder:
    Optimization of quantum graph eigenvalues with preferred orientation vertex conditions,
    submitted to Ann H. Poincaré [arXiv:2410.21820 [math-ph]]
  • [331] P. Exner, D.Spitzkopf:
    Magnetic transport due to a translationally invariant potential obstacle,
    submitted to J. Math. Phys. [arXiv:2410.16036 [math-ph]]
  • [330] P. Exner, J. Pekař:
    Spectral properties of hexagonal lattices with the -R coupling,
    Rep. Math. Phys. 95 (2025), to appear [arXiv:2409.03538 [math-ph]]
  • [329] P. Exner, H. Kovařík:
    Optimizing the ground of a Robin Laplacian: asymptotic behavior,
    submitted to SIAM J. Math. Anal. [arXiv:2408.11636 [math.SP]]
  • [328] K. Ando, E. Blasten, P. Exner, H. Isozaki, E. Korotyaev, M. Lassas, J. Lu, H. Morioka:
    Inverse problems for quantum graph associated with square and hexagonal lattices
    submitted to Rev. Math. Phys. [arXiv:2409.02605 [math-ph]]
  • [327] P. Exner, J. Pekař:
    Vertex coupling interpolation in quantum chain graphs,
    J. Math. Phys. 65 (2024), 092102 [arXiv:2403.09457 [math-ph]; abs]
  • [326] M. Baradaran, P. Exner:
    Cairo lattice with time-reversal non-invariant vertex couplings,
    J. Phys. A.: Math. Theor. 57 (2024), 265202 [mp_arc 23-85; arXiv:2312.13827 [math.SP]; abs]
  • [325] J. Behrndt, P. Exner, M. Holzmann, M. Tušek:
    On two-dimensional Dirac operators with delta-shell interactions supported on unbounded curves with straight ends},
    submitted to Proceedings of "Puglia Summer Trimester 2023" [mp_arc 23-86; arXiv:2312.00181 [math.SP]]
  • [324] P. Exner:
    Geometrically induced spectral properties of soft quantum waveguides and layers
    Rev. Math. Phys. 36 (2024), 236003 [abs]
  • [323] P. Exner, D. Spitzkopf:
    Tunneling in soft waveguides: closing a book
    J. Phys. A: Math. Theor. 57 (2024), 125301 [mp_arc 23-39; arXiv:2307.01536 [math.SP]; abs]
  • [322] P. Exner:
    Geometry effects in quantum dot families
    Pure Appl. Funct. Anal. 9 (2024), 1065-1080 [mp_arc 23-36; arXiv:2305.12748 [math.SP]]
  • [321] P. Exner, S. Vugalter:
    Bound states in bent soft waveguides
    J. Spectral Theory 14 (2024), 427-457 [mp_arc 23-32; arXiv:2304.14776 [math.SP]; abs]
  • [320] P. Exner, S. Kondej, V. Lotoreichik:
    Bound states of weakly deformed soft waveguides
    Asymptotic Analysis 138 (2024), 151-174 [mp_arc 222-3; arXiv:2211.0198 [math.SP]; abs]
  • [319] E. Blasten, P. Exner, H. Isozaki, M. Lassas, Jinpeng Lu:
    Inverse problems for locally perturbed lattices - Discrete Hamiltonian and quantum graph
    Annales Henri Lebesgue to appear [mp_arc 22-8; arXiv:2202.00944 [math-ph]]
  • [318] M. Baradaran, P. Exner, J. Lipovský:
    Magnetic square lattice with vertex coupling of a preferred orientation
    Ann. Phys. 454 (2023), 169339 [mp_arc 23-4; arXiv:2302.04601 [math-ph]; abs]
  • [317] D. Barseghyan, P. Exner: Spectral estimates for Dirichlet Laplacian on spiral-shaped regions
    J. Spect. Theory 13 (2023), 247-261 [mp_arc 22-32; arXiv:2206.14058 [math.SP]; abs]
  • [316] D.I. Borisov, P. Exner:
    Approximation of point interactions by geometric perturbations in two-dimensional domains
    Bull. Math.Sci. 13 (2023), 2250003 [mp_arc 20-68; arXiv:2008.00478 [math-ph]; abs]
  • [315] P. Exner, J. Lipovský:
    Spectral transition model with the general contact interaction
    From Complex Analysis to Operator Theory: A Panorama. In Memory of Sergey Naboko (M. Brown, F. Gesztesy, P. Kurasov, A. Laptev, B. Simon, G. Stolz, and I. Wood, eds.), Operator Theory: Advances and Applications, vol.291, Birh user 2023; pp. 523-547. [mp_arc 22-34; arXiv:2207.03713 [math-ph]; link]
  • [314] P. Exner:
    Magnetic transport in laterally coupled layers
    Physica Scripta 97 (2022), 104004 (11pp) [mp_arc 22-33; arXiv:2207.01252 [math.SP]; abs]
  • [313] P. Exner, S. Nakamura, Y. Tadano:
    Continuum limit of the lattice quantum graph Hamiltonian
    Lett. Math. Phys. 112 (2022), 83 (15pp) [mp_arc 22-9; arXiv:2202.06586 [math-ph]; abs]
  • [312] M. Baradaran, P. Exner, J. Lipovský:
    Magnetic ring chains with vertex coupling of a preferred orientation
    J. Phys. A: Math. Theor. 55 (2022), 375203 [mp_arc 22-1; arXiv:2201.01502 [math-ph]; abs]
  • [311] P. Exner, M. Holzmann:
    Dirac operator spectrum in tubes and layers with a zigzag type boundary
    Lett. Math. Phys. 112 (2022), 102 [mp_arc 21-60; arXiv:2112.08109 [math.SP]; abs]
  • [310] P. Exner:
    Soft quantum waveguides in three dimensions
    J. Math. Phys. 63 (2022), 042103 (9pp) [mp_arc 21-47; arXiv:13142 [math.SP]; abs]
  • [309] M. Baradaran, P. Exner:
    Kagome network with vertex coupling of a preferred orientation
    J. Math. Phys. 63 (2022), 083502 (19pp) [mp_arc 21-34; arXiv:2106.16019 [math-ph]; abs]
  • [308] M. Baradaran, P. Exner, M. Tater:
    Spectrum of periodic chain graphs with time-reversal non-invariant vertex coupling
    Ann. Phys. 443 (2022), 168992 (24pp) [mp_arc 20-109; arXiv:2012.14344 [math-ph]; abs]
  • [307] P. Exner, V. Lotoreichik:
    Spectral optimization for Robin Laplacian on domains admitting parallel coordinates
    Math. Nachr. 295 (2022), 1163-1173 [mp_arc 20-2; arXiv:2001.02718 [math.SP]; abs]
  • [306] P. Exner, M. Tater:
    Quantum graphs: self-adjoint, and yet exhibiting a nontrivial $\mathcal{PT}$-symmetry
    Phys. Lett. A416 (2021), 127669 (6pp) [mp_arc 21-43; arXiv:2108.04708 [math-ph]; abs]
  • [305] P. Exner, V. Lotoreichik:
    Optimization of the lowest eigenvalue of a soft quantum ring
    Lett. Math. Phys. 111 (2021), 28 (22pp) [mp_arc 20-2; arXiv:2011.02257 [math-ph]; abs]
  • [304] P. Exner, T. Ichinose:
    Note on a product formula related to quantum Zeno dynamics
    Ann. H. Poincar 22 (2021), 1669-1697, correction 1699-1700 [mp_arc 20-110; arXiv:2012.15061 [math-ph]; abs; corr]
  • [303] D. Barseghyan, P. Exner:
    Magnetic field influence on the discrete spectrum of locally deformed leaky wires
    Rep. Math. Phys. 88 (2021), 47-57 [mp_arc 20-46; arXiv:2006.03877 [math.SP]; abs]
  • [302] P. Exner:
    Quantum graphs with vertices violating the time reversal symmetry (in Russian)
    Physics of Elementary Particles and Atomic Nucleus 52 (2021), 645-657; English transl. 52 (2021), 330-336 [abs]
  • [301] P. Exner:
    Topologically induced spectral behavior: the example of quantum graphs
    Proceedings of the "8th International Congress of Chinese Mathematicians" (Beijing 2019), to appear [mp_arc 20-24; arXiv:2003.06189 [math.SP]]
  • [300] D.I. Borisov, P. Exner:
    Gap opening in two-dimensional periodic systems
    Commun. Contemp. Math. 23 (2021), 1950080 (22pp) [mp_arc 18-100; arXiv:1810.08824 [math.SP]; abs]
  • [299] P. Exner:
    Leaky quantum structures
    Trudy MIAN 311 (2020), 123-139; Proc. Steklov Inst. 311 (2020), 114-128 [abs-russ; abs-eng]
  • [298] P. Exner, M. Tater:
    Spectral properties of spiral-shaped quantum waveguides
    J. Phys. A: Math. Theor. 53 (2020), 5050303 (25pp) [mp_arc 20-80; arXiv:2009.02730 [math-ph]; abs]
  • [297] P. Exner:
    Spectral properties of soft quantum waveguides
    J. Phys. A: Math. Theor.53 (2020), 355302 (15pp); corrigendum 54 (2021), 099501 [mp_arc 20-48; arXiv:200615071 [math.SP]; abs; corr]
  • [296] P. Exner, J. Lipovský:
    Topological bulk-edge effects in quantum graph transport
    Phys. Lett. A384 (2020), 126390 (9pp) [mp_arc 20-5; arXiv:2001.10735 [math-ph]; abs]
  • [295] M. Baradaran, P. Exner, M. Tater:
    Ring chains with vertex coupling of a preferred orientation
    Rev. Math. Phys. 32 (2020), 2060005 (14pp) [mp_arc 19-61; arXiv:1912.03667 [math.SP]; abs]
  • [294] P. Exner:
    Dirac operators with a delta-shell interaction
    Proceedings of the International Bogolyubov Conference "Problems of Theoretical and Mathematical Physics" (Moscow and Dubna 2019), Physics of Particles and Nuclei 51 (2020), 405-409
  • [293] P. Exner, S. Kondej:
    Spectral optimization for strongly singular Schr dinger operators with a star-shaped interaction
    Lett. Math. Phys. 110 (2020), 735-751 [mp_arc 19-35; arXiv:1906.00390 [math-ph]; abs]
  • [292] P. Exner:
    Spectral optimization for singular Schr dinger operators
    Proceedings of the conference "Differential Operators on Graphs and Waveguides" (Graz 2019), Operators and Matrices 14 (2020), 705-716 [abs]
  • [291] D. Barseghyan, P. Exner:
    Spectral geometry in a rotating frame: properties of the ground state
    J. Math. Anal. Appl. 489 (2020), 124130(12pp) [mp_arc 19-17; arXiv:1902.03038 [math.SP]; abs]
  • [290] J. Behrndt, P. Exner, M. Holzmann, V. Lotoreichik:
    The Landau Hamiltonian with delta-interactions supported on curves
    Rev. Math. Phys. 32 (2020), 2050010 (51pp) [mp_arc 18-118; arXiv:1812.09145 [math.SP]; abs]
  • [289] P. Exner:
    Schr dinger operators with a switching effect
    in Mathematical Modelling, Optimization, Analytic and Numerical Solutions (P. Manchanda, R.P. Lozi, A.H. Siddiqi, eds.), Springer, Singapore 2020; pp.13-31 [arXiv:1810.08824 [math-ph];book]
  • [288] P. Exner, V. Lotoreichik:
    Spectral asymptotics of the Dirichlet Laplacian on a generalized parabolic layer
    Integral Equations and Operator Theory 92 (2020), 15 (26pp) [mp_arc 18-64; arXiv:1805.12448 [math.SP]; abs]
  • [287] P. Exner:
    Singular Schr dinger operators and Robin billiards. Spectral properties and asymptotic expansions
    Afrika Matematika 31 (2020), 71-88 [mp_arc 18-81; arXiv:1807.06835 [math-ph]; abs]
  • [286] P. Exner, J. Lipovský:
    Spectral asymptotics of the Laplacian on Platonic solids graphs
    J. Math. Phys. 60 (2019), 122101 (21pp) [mp_arc 19-42; arXiv:1906.09091 [math.SP]; abs]
  • [285] P. Exner:
    An optimization problem for finite point interaction families
    J. Phys. A: Math. Theor. 52 (2019), 405302 (12pp) [mp_arc 19-36; arXiv:1906.01229 [math.SP]; abs]
  • [284] J. Behrndt, P. Exner, M. Holzmann, V. Lotoreichik:
    On Dirac operators in R^3 with electrostatic and Lorentz scalar delta-shell interactions
    Quantum Studies: Mathematics and Foundations 6 (2019), 295-314 [mp_arc 19-14; arXiv:1901.11323 [math.SP]; abs]
  • [283] P. Exner, S. Kondej:
    Scattering on leaky wires in dimension three
    in Analysis and Operator Theory In Honor of Tosio Kato s 100th Birthday (Th. Rassias and V. Zagrebnov, eds.), Springer Optimization and Its Applications, vol. 146, Cham 2019; pp. 81-91.
    [mp_arc 18-108; arXiv:1811.04802 [math-ph]]
  • [282] P. Exner, A. Khrabustovskyi:
    Gap control by singular Schr\"odinger operators in a periodically structured metamaterial
    Journal of Mathematical Physics, Analysis, and Geometry 14 (2018), 270-285 [mp_arc 18-22; arXiv:1802.07522 [math.SP]; abs]
  • [281] P. Exner, O. Turek, M. Tater:
    A family of quantum graph vertex couplings interpolating between different symmetries
    J. Phys. A: Math. Theor. 51 (2018), 285301 (22pp) [mp_arc 18-44; arXiv:1804.01414 [math-ph]; abs]
  • [280] P. Exner, J. Lipovský:
    Smilansky-Solomyak model with a $\delta'$-interaction
    Phys. Lett. A382 (2018), 1207-1213 [mp_arc 18-6; arXiv:1801.08304 [math-ph]; abs]
  • [279] P. Exner, S. Kondej:
    Aharonov and Bohm versus Welsh eigenvalues
    Lett. Math. Phys. 108 (2018), 2153-2167 [mp_arc 17-115; arXiv:1712.04897 [math.SP]; abs]
  • [278] F. Bakharev, P. Exner:
    Geometrically induced spectral effects in tubes with a mixed Dirichlet-Neumann boundary
    Rep. Math. Phys. 81 (2018), 213-231 [mp_arc 17-89; arXiv:1708.08068 [math.SP]; abs]
  • [277] P. Exner, A. Kostenko, M. Malamud, H. Neidhardt:
    Spectral theory of infinite quantum graphs
    Ann. H. Poincar 19 (2018), 3457-3510 [mp_arc 17-59; arXiv:1705.01831 [math-ph]; abs]
  • [276] P. Exner, V. Lotoreichik, A. Pérez-Obiol:
    On the bound states of magnetic Laplacians on wedges
    Rep. Math. Phys. 82 (2018), 161-185 [mp_arc 17-35; arXiv:1703.03667 [math.SP]; abs]
  • [275] P. Exner, V. Lotoreichik:
    Optimization of the lowest eigenvalue for leaky star graphs
    in Proceedings of the of conference "Mathematical Results in Quantum Physics" (QMath13, Atlanta 2016; F. Bonetto, D. Borthwick, E. Harrell, M. Loss, eds.), Contemporary Mathematics, AMS, Prividence, R.I. 2018; p. 187-196 [mp_arc 17-10; arXiv:1701.06840 [math.SP]; cont]
  • [274] P. Exner, T. Kalvoda, M. Tušek:
    A geometric Iwatsuka type effect in quantum layers
    J. Math. Phys. 59 (2018), 042105 (19pp) [mp_arc 17-6; arXiv:1701.05714 [math-ph]; abs]
  • [273] J. Behrndt, P. Exner, M. Holzmann, V. Lotoreichik:
    On the spectral properties of Dirac operators with electrostatic delta-shell interactions
    J. Math. Pures Appl. 111 (2018), 47-78 [mp_arc 16-74; arXiv:1609.00608 [math.SP]; abs]
  • [272] P. Exner:
    On the spectrum of leaky surfaces with a potential bias
    in "Non-Linear Partial Differential Equations, Mathematical Physics, and Stochastic Analysis. The Helge Holden Anniversary Volume" (F. Gesztesy et al. eds.), EMS, Z rich 2018, pp. 169--181. [mp_arc 17-7; arXiv:1701.06288 [math-ph]]
  • [271] P. Exner, M. Tater:
    Quantum graphs with vertices of a preferred orientation
    Phys. Lett. A (2018) 382 (2018), 283-287 [mp_arc 17-100; arXiv:1710.02664 [math-ph]; abs]
  • [270] P. Exner, S. Kondej, V. Lotoreichik:
    Asymptotics of the bound state induced by $\delta$-interaction supported on a weakly deformed plane
    J. Math. Phys. 59 (2018), 013051 (17pp) [mp_arc 17-34; arXiv:1703.10854 [math.SP]; abs]
  • [269] D. Barseghyan, P. Exner:
    A magnetic version of the Smilansky-Solomyak model
    J. Phys. A50 (2017), 485203 (24pp) [mp_arc 17-86; arXiv:1708.07375 [math.SP]; abs]
  • [268] P. Exner, O. Turek:
    Periodic quantum graphs from the Bethe-Sommerfeld perspective
    J. Phys. A: Math. Theor. 50 (2017), 455201 (32pp) [mp_arc 17-67; arXiv:1705.07306 [math-ph]; abs]
  • [267] P. Exner, O. Turek:
    Quantum graphs with the Bethe-Sommerfeld property
    Nanosystems: Phys. Chem. Math. 8 (2017), to 305-309 [mp_arc 17-60; arXiv:1705.04363 [quant-ph]; abs]
  • [266] P. Exner, D. Vašata:
    Cantor spectra of magnetic chain graphs
    J. Phys. A: Math. Theor. 50 (2017), 165201 (13pp) [mp_arc 16-90; arXiv:1611.04559 [math-ph]; abs]
  • [265] P. Exner, V. Lotoreichik, M. Tater:
    Spectral and resonance properties of Smilansky Hamiltonian
    Phys. Lett. A381 (2017), 756-761 [mp_arc 16-84; arXiv:1610.02868 [math-ph]; abs]
  • [264] D. Barseghyan, P. Exner:
    A regular analogue of the Smilansky model: spectral properties
    Rep. Math. Phys. 80 (2017), 177-192 [mp_arc16-73; arXiv:1609.03008[math-ph]; abs]
  • [263] P. Exner, J. Lipovský:
    Pseudo-orbit approach to trajectories of resonances in quantum graphs with general vertex coupling: Fermi rule and high-energy asymptotics
    J. Math. Phys. 58 (2017), 042101 (14pp) [mp_arc16-67; arXiv:1608.03978 [math-ph]; abs]
  • [262] A.S. Kostenko, M.M. Malamud, H. Neidhardt, P. Exner:
    Infinite quantum graphs (in Russian)
    Doklady AN 472 (2017), 253-258
  • [261] J. Behrndt, P. Exner, M. Holzmann, V. Lotoreichik:
    Approximation of Schroedinger operators with delta-interactions supported on hypersurfaces
    Math. Nachr. 290 (2017), 1215 1248 [mp_arc 15-120; arXiv:1512.08658 [math.SP]; abs]
  • [260] P. Exner, V. Lotoreichik:
    A spectral isoperimetric inequality for cones
    Lett. Math. Phys. 107 (2017), 717 732 [mp_arc 15-117; arXiv:1512.01970 [math.SP]; abs]
  • [259] P. Exner, S. Manko:
    Spectral properties of magnetic chain graphs
    Ann. H. Poincar 18 (2017), 929-953 [mp_arc 15-61; arXiv:1507.00608 [math-ph]; abs]
  • [258] P. Exner, V. Lotoreichik, M. Tater:
    On resonances and bound states of Smilansky Hamiltonian
    Nanosystems: Phys. Chem. Math. 7 (2016), 789-802 [mp_arc 16-44; arXiv:1607.00540 [math-ph]; abs]
  • [257] P. Exner, J. Rohleder:
    Generalized interactions supported on hypersurfaces
    J. Math. Phys. 57 (2016), 041507 (24pp) [mp_arc 15-110; arXiv:1511.06903 [math-ph]; abs]
  • [256] D. Barseghyan, P. Exner, A. Khrabustovskyi, M. Tater:
    Spectral analysis of a class of Schr\"odinger operators exhibiting a parameter-dependent spectral transition
    J. Phys. A49 (2016), 165302 (19pp) [mp_arc 15-103; arXiv:1511.00097 [math-ph]; abs]
  • [255] J. Dittrich, P. Exner, Ch. Kuhn, K. Pankrashkin:
    On eigenvalue asymptotics for strong $\delta$-interactions supported by surfaces with boundaries
    Asympt. Anal. 97 (2016), 1-25 [mp_arc 15-59; arXiv:1506.06583 [math-ph]; abs]
  • [254] P. Exner, S. Vugalter:
    On the existence of bound states in asymmetric leaky wires
    J. Math. Phys. 57 (2016), 022104 (15pp) [mp_arc 15-38; arXiv:1505.02347 [math-ph]; abs]
  • [253] D. Barseghyan, P. Exner, H. Kovařík, T. Weidl:
    Semiclassical bounds in magnetic bottles
    Rev. Math. Phys. 28 (2016), 1650002 (29pp) [mp_arc 15-06; arXiv:1501.02950 [math-ph]; abs]
  • [252] P. Exner, S. Kondej:
    Strong coupling asymptotics for Schroedinger operators with an interaction supported by an open arc in three dimensions
    Rep. Math. Phys. 77 (2016), 1-17 [mp_arc 15-63; arXiv:1507.02123 [math-ph]; abs]
  • [251] P. Exner, S. Kondej:
    Gap asymptotics in a weakly bent leaky quantum wire
    J. Phys. A48 (2015), 495301 (19pp) [mp_arc 15-60; arXiv:1506.07309 [math-ph]; abs]
  • [250] P. Exner, S. Manko:
    Spectra of magnetic chain graphs: coupling constant perturbations
    J. Phys. A48 (2015), 125302 (20pp) [mp_arc 14-86; arXiv:1412.6089 [math-ph]; abs; Publishers-pick]
  • [249] P. Exner:
    Functional analysiss
    in "Mathematical Tools for Physicists" (2nd ed.; M. Grinfeld, ed.), Wiley, Weinheim 2015; pp. 449-474 [description]
  • [248] P. Exner, A. Khrabustovskyi:
    On the spectrum of narrow Neumann waveguide with periodically distributed $\delta'$ traps
    J. Phys. A: Math. Theor. 48 (2015), 315301 (13pp) [mp_arc 14-36; arXiv: 1405.1367 [math.SP]; abs]
  • [247] P. Exner, O. Turek:
    Spectrum of a dilated honeycomb network
    Integral Equation and Operator Theory 81 (2015), 535-557 [mp_arc 14-34; arXiv: 1405.0694 [math-ph]; abs]
  • [246] P. Exner, A. Minakov:
    Curvature-induced bound states in Robin waveguides and their asymptotical properties
    J. Math. Phys. 55 (2014), 122101 (19pp) [mp_arc 14-51; arXiv:1406.7624 [math-ph]; abs]
  • [245] P. Exner, H. Neidhardt, M. Tater, V.A. Zagrebnov:
    Non-equilibrium current via geometric scatterers
    J. Phys. A47 (2014), 395301 (16pp) [mp_arc 14-42; arXiv:1405.4391 [math-ph]; abs; insight]
  • [244] J. Behrndt, P. Exner, V. Lotoreichik:
    Schr\"odinger operators with $\delta$-interactions supported on conical surfaces
    J. Phys. A47 (2014), 355202 (16pp) [mp_arc 14-23; arXiv: 1404.1764 [math.SP]; abs]
  • [243] P. Exner, M. Jex:
    Spectral asymptotics of a strong $\delta'$ interaction supported by a surface
    Phys. Lett. A378 (2014), 2091-2095 [mp_arc 14-9; arXiv: 1402.6117 [math-ph]; abs]
  • [242] P. Exner, A. Minakov, L. Parnovski:
    Asymptotic eigenvalue estimates for a Robin problem with a large parameter
    Portugal. Math. 71 (2014), 141-156 [mp_arc 14-19; arXiv: 1312.7293 [math-ph]; abs]
  • [241] P. Exner, S. Manko:
    Approximations of quantum-graph vertex couplings by singularly scaled rank-one potentials
    Lett. Math. Phys. 104 (2014), 1079-1094 [mp_arc 13-84; arXiv: 1310.5856 [math.SP]; abs]
  • [240] D. Barseghyan, P. Exner:
    A regular version of Smilansky model
    J. Math. Phys. 55 (2014), 042104 (13pp) [mp_arc 13-70; arXiv: 1308.4249 [math-ph]; abs]
  • [239] J. Behrndt, P. Exner, V. Lotoreichik:
    Schroedinger operators with delta and delta'-interactions on Lipschitz surfaces and chromatic numbers of associated partitions
    Rev. Math. Phys. 26 (2014), 1450015 (43pp) [mp_arc 13-59; arXiv: 1307.0074 [math-ph]; abs]
  • [238] P. Exner, Ch. Seifert, P. Stollmann:
    Absence of absolutely continuous spectrum for the Kirchhoff Laplacian on radial trees
    Ann. H. Poincar 15 (2014), 1109-1121 [mp_arc 13-38; arXiv: 1305.0656 [math-ph]; abs]
  • [237] P. Exner, A. Laptev, M. Usman:
    On some sharp spectral inequalities for Schroedinger operators on semiaxis
    Commun. Math. Phys. 326 (2014), 531-541 [mp_arc 13-5; arXiv: 1301.4986 [math-ph]; abs]
  • [236] P. Exner, D. Barseghyan:
    Spectral estimates for Dirichlet Laplacians on perturbed twisted tubes
    Operators and Matrices 8 (2014), 167-183 [mp_arc 12-134; arXiv: 1211.0401 [math-ph]; abs]
  • [235] P. Exner, K. Pankrashkin:
    Strong coupling asymptotics for a singular Schr\"odinger operator with an interaction supported by an open arc
    Comm. PDE 39 (2014), 193-212 [mp_arc 12-74; arXiv: 1207.2271 [math-ph]; abs]
  • [234] P. Exner, J. Lipovský:
    Resonances on hedgehog manifolds
    Acta Polytechnica 53 (2013), 416-426 [mp_arc 13-11; arXiv: 1302.5269 [math-ph]]
  • [233] P. Exner, S. Manko:
    Approximations of quantum-graph vertex couplings by singularly scaled potentials
    J. Phys. A46 (2013), 345202 (17pp) [mp_arc 13-50; arXiv: 1306.0881 [math-ph]; abs]
  • [232] P. Exner, M. Jex:
    Spectral asymptotics of a strong $\delta'$ interaction on a planar loop
    J. Phys. A46 (2013), 345201 (12pp) [mp_arc 13-37; arXiv: 1304.7696 [math-ph]; abs]
  • [231] D. Borisov, P. Exner, A. Golovina:
    Tunneling resonances in systems without a classical trapping
    J. Math. Phys. 54 (2013), 012102 (19pp) [mp_arc 12-106; arXiv: 1210.0449 [math-ph]; abs]
  • [230] P. Exner:
    Momentum operators on graphs
    in "Spectral Analysis, Differential Equations and Mathematical Physics: A Festschrift in Honor of Fritz Gesztesy's 60th Birthday" (H. Holden, B. Simon, G. Teschl, eds.), Proc. Symp. Pure Math., vol. 87, AMS, Providence, R.I.; pp. 105-118 [mp_arc 12-64; arXiv: 1205.5941 [math-ph]]
  • [229] P. Exner, O. Post:
    Approximation of quantum graph vertex couplings by scaled Schroedinger operators on thin branched manifolds
    Commun. Math. Phys. 322 (2013), 207-227 [mp_arc 12-63; arXiv: 1205.5129 [math-ph]; abs]
  • [228] P. Exner:
    Solvable models of resonances and decays
    in Proceedings of the conference "Mathematical Physics, Spectral Theory and Stochastic Analysis" (Goslar 2011; M.Demuth, W. Kirsch, eds.), Birkh user, Basel 2013; pp. 165-227. [mp_arc 12-46; arXiv: 1205.0512 [math-ph]]
  • [227] P. Exner, D. Barseghyan:
    Spectral estimates for Dirichlet Laplacians and Schroedinger operators on geometrically nontrivial cusps
    J. Spect. Theory 3 (2013), 465-484 [mp_arc 12-32; arXiv: 1203.2098 [math-ph]; abs]
  • [226] P. Exner:
    Decay law regularity
    Integral Equations and Operator Theory (2012), 1-2 [abs]
  • [225] P. Exner, M. Jex:
    On the ground state of quantum graphs with attractive $\delta$-coupling
    Phys. Lett. A376 (2012), 713-717 [mp_arc 11-145; arXiv: 1110.1800 [math-ph]; abs]
  • [224] P. Exner, D. Barseghyan:
    Spectral estimates for a class of Schroedinger operators with infinite phase space and potential unbounded from below
    J. Phys. A45 (2012), 075204 (14pp) [mp_arc 11-124; arXiv: 1109.0168 [math-ph]; abs]
  • [223] T. Cheon, P. Exner, O. Turek:
    Inverse scattering problem for quantum graph vertices
    Phys. Rev. A83 (2011), 062715 (4pp) [arXiv: 1104.1048 [quant-ph]; abs]
  • [222] P. Exner:
    Vertex couplings in quantum graphs: approximations by scaled Schroedinger operators
    Proceedings of the ICM satellite conference "Mathematics in Science and Technology" (New Delhi, August 15-17, 2010; A.H. Siddiqi, R.C. Singh, P. Manchanda, eds.), World Scientific, Singapore 2011, pp. 71-92 [arXiv: 1011.6019 [quant-ph]]
  • [221] P. Exner, J. Lipovský:
    Non-Weyl resonance asymptotics for quantum graphs in a magnetic field
    Phys. Lett. A375 (2011), 805-807 [mp_arc 10-190; arXiv: 1011.5761 [math-ph]; abs]
  • [220] P. Exner, P. Seba, D. Vašata:
    Built-up structure criticality
    Physica A390 (2011), 3922-3931 [arXiv: 1011.2704 [soc-ph]; abs]
  • [219] R. Carlone, P. Exner:
    Dynamics of an electron confined to a "hybrid plane" and interacting with a magnetic field
    Rep. Math. Phys. 67 (2011), 211-227 [mp_arc 10-158; arXiv: 1009.5252 [math-ph]; abs]
  • [218] P. Exner, H. Neidhardt, V. Zagrebnov:
    Remarks on the Trotter-Kato product formula for unitary groups
    Integral Equation and Operator Theory 69 (2011), 451-478 [mp_arc 09-107; arXiv: 0907.1199 [math-ph]; abs]
  • [217] T. Cheon, P. Exner, O. Turek:
    Tripartite connection condition for quantum graph vertex
    Phys. Lett. A375 (2010), 113-118 [arXiv: 1009.5216 [quant-ph]; abs]
  • [216] P. Exner, P. Kuchment, B. Winn:
    On the location of spectral edges in Z-periodic media
    J. Phys. A43 (2010), 474022 (8pp) [mp_arc 10-86; arXiv: 1006.3001 [math-ph]; abs]
  • [215] P. Exner, O. Turek:
    High-energy asymptotics of the spectrum of a periodic square-lattice quantum graph
    J. Phys. A43 (2010), 474024 (25pp) [mp_arc 10-83; arXiv: 1006.1446 [math-ph]; abs]
  • [214] P. Exner, M. Tater:
    Spectrum of Dirichlet Laplacian in a conical layer
    J. Phys. A43 (2010), 474023 (11pp) [mp_arc 10-150; arXiv: 1006.0137 [math-ph]; abs]
  • [213] P. Exner, J. Lipovský:
    On the absence of absolutely continuous spectra for Schroedinger operators on radial tree graphs
    J. Math. Phys. 51 (2010), 122107 (19pp) [mp_arc 10-59; arXiv: 1004.1980 [math-ph]; abs]
  • [212] E.B. Davies, P. Exner, J. Lipovský:
    Non-Weyl asymptotics for quantum graphs with general coupling conditions
    J. Phys. A43 (2010), 474013 (16pp) [mp_arc 10-58; arXiv: 1004.0856 [math-ph]; abs]
  • [211] P. Exner, J. Lipovský:
    Resonances from perturbations of quantum graphs with rationally related edges
    J. Phys. A43 (2010), 105301 (21pp) [mp_arc 09-216; arXiv: 0912.3936 [math-ph]; abs]
  • [210] T. Cheon, P. Exner, O. Turek:
    Approximation of a general singular vertex coupling in quantum graphs
    Ann. Phys. 325 (2010), 548-578 [mp_arc 09-142; arXiv: 0908.2679 [quant-ph]; abs]
  • [209] T. Cheon, P. Exner, O. Turek:
    Spectral filtering in quantum Y-junction
    J. Phys. Soc. Japan 78 (2009), 124004 (7pp) [arXiv: 0908.3717 [quant-ph]; abs]
  • [208] P. Exner, F. Fraas:
    On geometric perturbations of critical Schr dinger operators with a surface interaction
    J. Math. Phys. 50 (2009), 112101 (12pp) [mp_arc 09-7; arXiv: 0901.1148 [math-ph]; abs]
  • [207] P. Exner, P. Šeba, D. Vašata:
    The distribution of landed property
    Physica A388 (2009), 4619-4623 [mp_arc 09-5; arXiv: 0901.0765 [physics.soc-ph]; abs]
  • [206] P. Exner, O. Post:
    Approximation of quantum graph vertex couplings by scaled Schroedinger operators on thin branched manifolds
    J. Phys. A42 (2009), 415305 (22pp) [mp_arc 08-220; arXiv: 0811.3707 [math-ph]; abs]
  • [205] P. Duclos, P. Exner, O. Turek:
    On the spectrum of a bent chain graph
    J. Phys. A41 (2008), 415206 (18pp) [mp_arc 08-136; arXiv: 0807.1419 [math-ph]; abs]
  • [204] P. Exner, M. Fraas:
    Interlaced dense point and absolutely continuous spectra for Hamiltonians with concentric-shell singular interactions
    Proceedings of the QMath10 Conference (Moeciu 2007), World Scientific, Singapore 2008; pp. 48-65 [mp_arc 08-19; arXiv: 0801.4306 [math-ph]]
  • [203] P. Exner, S. Kondej:
    Hiatus perturbation for a singular Schr\"odinger operator with an interaction supported by a curve in $\mathbb{R}^3$
    J. Math. Phys. 49 (2008), 032111 (19pp) [mp_arc 07-301; arXiv: 0712.0313 [math-ph]; abs]
  • [202] P. Exner, A. Mantile:
    On the optimization of the principal eigenvalue for single-centre point-interaction operators in a bounded region
    J. Phys. A41 (2008), 065305 (15pp) [mp_arc 07-297; arXiv: 0711.4247 [math-ph]; abs]
  • [201] P. Exner, P. Šeba:
    A Markov process associated with plot-size distribution in Czech Land Registry and its number-theoretic properties
    J. Phys. A41 (2008), 045004 (7pp) [arXiv: 0711.1836 [physics.soc-ph]; abs]
  • [200] P. Exner:
    Leaky quantum graphs: a review
    in Proceedings of the INI programme "Analysis on Graphs and Applications" (Cambridge 2007), AMS "Proceedings of Symposia in Pure Mathematics" Series, vol. 77, Providence, R.I., 2008; pp. 523-564. [mp_arc 07-261; arXiv: 0710.5903 [math-ph]]
  • [199] P. Exner, O. Post:
    Quantum networks modelled by graphs
    Proceedings of the Joint Mathematics/Physics Workshop "Quantum Few-Body System" (Aarhus 2007), AIP Conf. Proc., vol. 998; Melville, NY, 2008, pp. 1-17. [arXiv: 0706.0481 [math-ph]]
  • [198] P. Exner, P. Šeba:
    A ``hybrid plane'' with spin-orbit interaction
    Russian J. Math. Phys. 14 (2007), 430-434 [mp_arc 07-121; arXiv: 0705.2487 [math-ph]; abs]
  • [197] P. Exner, F. Fraas:
    On the dense point and absolutely continuous spectrum for Hamiltonians with concentric $\delta$ shells
    Lett. Math. Phys. 82 (2007), 25-37 [mp_arc 07-117; arXiv: 0705.1407 [math-ph]; abs]
  • [196] C. Cacciapuoti, P. Exner:
    Nontrivial edge coupling from a Dirichlet network squeezing: the case of a bent waveguide
    J. Phys. A40 (2007), F511-F523 [mp_arc 07-99; arXiv: 0704.2912 [math-ph]; abs]
  • [195] P. Exner, F. Fraas:
    A remark on helical waveguides
    Phys. Lett. A369 (2007), 393-399 [mp_arc 07-96; arXiv: 0704.2770 [quant-ph]; abs]
  • [194] P. Exner, O. Turek:
    Approximations of singular vertex couplings in quantum graphs
    Rev. Math. Phys. 19 (2007), 571-606 [mp_arc 07-62; math-ph/0703051; abs]
  • [193] P. Exner, F. Fraas, E.M. Harrell:
    On the critical exponent in an isoperimetric inequality for chords
    Phys. Let. A368 (2007), 1-6 [mp_arc 07-53; math-ph/0703020; abs]
  • [192] P. Exner, O. Post:
    Convergence of resonances on thin branched quantum wave guides
    J. Math. Phys. 48 (2007), 092104 (43pp) [mp_arc 07-46; math-ph/0702075, abs]
  • [191] P. Exner, M. Helm, P. Stollmann:
    Localization on a quantum graph with a random potential on the edges
    Rev. Math. Phys. 19 (2007), 923-939 [mp_arc 06-371; math-ph/0612087, abs]
  • [190] P. Exner:
    Unstable system dynamics: do we understand it fully?
    Rep. Math. Phys. 59 (2007), 351-363 [abs]
  • [189] P. Exner, J. Lipovský:
    Equivalence of resolvent and scattering resonances on quantum graphs
    in "Adventures in Mathematical Physics" (Proceedings, Cergy-Pontoise 2006), AMS "Contemporary Mathematics" Series, vol. 447, Providence, R.I., 2007; pp. 73-81. [mp_arc 06-302; math-ph/0610065]
  • [188] P. Exner, R. Frank:
    Absolute continuity of the spectrum for periodically modulated leaky wires in R^3
    Ann. H. Poincar 8 (2007), 241-263 [mp_arc 05-290; math.SP/0508525, abs]
  • [187] P. Exner, T. Ichinose, H. Neidhardt, V. Zagrebnov:
    Zeno product formula revisited
    Integral Equations and Operator Theory 57 (2007), 67-81 [mp_arc 06-73; math-ph/0411036, abs]
  • [186] P. Exner, T. Ichinose, S. Kondej:
    On relations between stable and Zeno dynamics in a leaky graph decay model
    Proceedings of the Conference "Operator Theory and Mathematical Physics" (Bedlewo 2004); Operator Theory: Advances and Applications, vol.174, Birkhauser, Basel 2007; pp.21-34. [quant-ph/0504060]
  • [185] P. Exner, M. Fraas:
    The decay law can have an irregular character
    J. Phys. A40 (2007), 1333-1340 [quant-ph/0603067, abs]
  • [184] D. Borisov, P. Exner:
    Distant perturbation asymptotics in window-coupled waveguides. I. The non-threshold case
    J. Math. Phys. 47 (2006), 113502 (24pp) [mp_arc 06-177; math-ph/0606022, abs]
  • [183] P. Exner, M. Fraas:
    Resonance asymptotics in the generalized Winter model
    Phys. Lett. A360 (2006), 57-61 [quant-ph/0606020, abs]
  • [182] P. Exner:
    Point interaction polygons: an isoperimetric problem
    Proceedings of the QMath9 "Mathematical Physics of Quantum Mechanics" at Giens 1984, Springer lecture Notes in Physics (J. Asch, A. Joye, eds.), vol. 690, Springer 2006; pp. 55-64. [abs]
  • [181] P. Exner:
    Necklaces with interacting beads: isoperimetric problems
    Proceedings of the UAB05 Conference on Differential Equations and Mathematical Physics at Birmingham, AMS "Contemporary Mathematics" Series, vol. 412, Providence, R.I., 2006; pp. 141-149. [mp_arc 05-299; math-ph/0508061]
  • [180] P. Exner, E.M. Harrell, M. Loss:
    Inequalities for means of chords, with application to isoperimetric problems
    Lett. Math. Phys. 75 (2006), 225-233 [mp_arc 05-300; math-ph/0508060, abs]; addendum 77 (2006), 219 [doi]
  • [179] P. Exner, P. Hejčík, P. Šeba:
    Approximations by graphs and emergence of global structures
    Rep. Math. Phys. 57 (2006), 445-455 [quant-ph/0508226, abs]
  • [178] P. Exner, O. Turek:
    Approximations of permutation-symmetric vertex couplings in quantum graphs
    Proceedings of the Conference "Quantum Graphs and Their Applications" (Snowbird 2005); AMS "Contemporary Mathematics" Series, vol. 415, Providence, R.I., 2006; pp. 109-120 [mp_arc 05-284; math-ph/0508046]
  • [177] P. Exner, H. Kovařík:
    Spectrum of the Schroedinger operator in a perturbed periodically twisted tube
    Lett. Math. Phys. 73 (2005), 183-192 [mp_arc 05-168; math-ph/0505030, abs]
  • [176] P. Exner:
    Sufficient conditions for the anti-Zeno effect
    J. Phys. A38 (2005), L449-454 [mp_arc 05-180; quant-ph/0502125, abs]
  • [175] P. Exner:
    An isoperimetric problem for leaky loops and related mean-chord inequalities
    J. Math. Phys. 46 (2005), 062105 (10pp) [mp_arc 05-34; math-ph/0501066, abs]
  • [174] P. Exner, S. Kondej:
    Scattering by local deformations of a straight leaky wire
    J. Phys. A38 (2005), 4865-4874 [mp_arc 04-317; math-ph/0410007, abs]
  • [173] P. Exner, V.A. Zagrebnov:
    Bose-Einstein condensation in geometrically deformed tubes
    J. Phys. A38 (2005), L463-470 [cond-mat/0409612, abs]
  • [172] P. Exner:
    Seize ans apres
    An appendix to the 2nd edition of the monograph Solvable Models in Quantum Mechanics by S. Albeverio, G. Gesztesy, R. Hoegh-Krohn and H. Holden, AMS Chelsea Series, vol. 350; Providence, R.I., 2005; pp. 453-484 [publisher information]
  • [171] P. Exner:
    An isoperimetric problem for point interactions
    J. Phys. A38 (2005), 4795-4802 [mp_arc 04-184; math-ph/0406017, abs]
  • [170] P. Exner, T. Ichinose:
    A product formula related to quantum Zeno dynamics
    Ann. H. Poincar 6 (2005), 195-215 [mp_arc 04-331; math-ph/0302060, abs]
  • [169] P. Exner, O. Post:
    Convergence of spectra of graph-like thin manifolds
    J. Geom. Phys. 54 (2005), 77-115 [mp_arc 03-533; math-ph/0312028, abs]
  • [168] P. Exner, H. Linde, T. Weidl:
    Lieb-Thirring inequalities for geometrically induced bound states
    Lett. Math. Phys. 70 (2004), 83-95 [mp_arc 04-156; math-ph/0405046, abs]
  • [167] T. Cheon, P. Exner:
    An approximation to delta' couplings on graphs
    J. Phys. A37 (2004), L329-335 [mp_arc 04-127; quant-ph/0404136, abs]
  • [166] I. Catto, P. Exner, Ch. Hainzl:
    Enhanced binding revisited for a spinless particle in non-relativistic QED
    J. Math. Phys. 45 (2004), 4174-4185 [mp_arc 04-73; math-ph/0403012, abs]
  • [165] P. Exner, S. Kondej:
    Schroedinger operators with singular interactions: a model of tunneling resonances
    J. Phys. A37 (2004), 8255-8277 [mp_arc 03-548; math-ph/0312055, abs]
  • [164] D. Borisov, P. Exner:
    Exponential splitting of bound states in a waveguide with a pair of distant windows
    J. Phys. A37 (2004), 3411-3428 [mp_arc 03-525; math-ph/0312013, abs]
  • [163] P. Exner, P. Freitas, D. Krejčiřík:
    A lower bound to the spectral threshold in curved tubes
    Proc. Roy. Soc. A460 (2004), 3457-3467 [mp_arc 04-152; math-ph/0405039, abs]
  • [162] P. Exner, S. Kondej:
    Leaky quantum wire and dots: a resonance model
    Proceedings of the XIV International Congress on Mathematical Physics (Lisbon 2003), World Scientific, Singapore 2005; pp. 593-600. [mp_arc 03-329; math-ph/0307030]
  • [161] P. Exner, S. Kondej:
    Strong-coupling asymptotic expansion for Schroedinger operators with a singular interaction supported by a curve in R^3
    Rev. Math. Phys. 16 (2004), 559-582 [mp_arc 03-110; math-ph/0303033, abs]
  • [160] P. Exner, M. Tater:
    Spectra of soft ring graphs
    Waves in Random Media, 14 (2004), S47-60 [mp_arc 03-88; math-ph/0303006, abs]
  • [159] G. Carron, P. Exner, D. Krejčiřík:
    Topologically non-trivial quantum layers
    J. Math. Phys. 45 (2004), 774-784 [mp_arc 03-51; math-ph/0302025, abs]
  • [158] J. Dittrich, P. Exner, M. Hirokawa:
    A model of interband radiative transition
    J. Math. Soc. Japan 56 (2004), 753-786 [mp_arc 00-442; math-ph/0011009]
  • [157] P. Exner:
    Spectral properties of Schroedinger operators with a strongly attractive delta interaction supported by a surface
    Proceedings of the NSF Summer Research Conference (Mt. Holyoke 2002); AMS "Contemporary Mathematics" Series, vol. 339, Providence, R.I., 2003; pp. 25-36 [mp_arc 03-17; math-ph/0301021]
  • [156] F. Bentosela, P. Duclos, P. Exner:
    Absolute continuity in periodic thin tubes and strongly coupled leaky wires
    Lett. Math. Phys. 65 (2003), 75-82 [mp_arc 03-325; math.SP/0307188, abs]
  • [155] P. Exner, K. Němcová:
    Leaky quantum graphs: approximations by point interaction Hamiltonians
    J. Phys. A36 (2003), 10173-10193 [mp_arc 03-275; math-ph/0306033, abs]
  • [154] P. Exner, K. Yoshitomi:
    Eigenvalue asymptotics for the Schroedinger operator with a delta-interaction on a punctured surface
    Lett. Math. Phys. 65 (2003), 19-26 [mp_arc 03-144; math-ph/0303072, abs]; erratum 67 (2004), 81-82 [doi]
  • [153] P. Exner, K. Němcová:
    Magnetic layers with periodic point perturbations
    Rep. Math. Phys. 52 (2003), 255-280 [mp_arc 02-524; math-ph/0212053, abs]
  • [152] J. Bruening, P. Exner, V.A. Geyler:
    Large gaps in point-coupled periodic systems of manifolds
    J. Phys. A36 (2003), 4875-4890 [mp_arc 02-523; math-ph/0212052, abs]
  • [151] T. Cheon, P. Exner, P. Šeba:
    Extended standard map with spatio-temporal asymmetry
    J. Phys. Soc. Japan, 72 (2003), 1087-1091 [cond-mat/0203241, abs]
  • [150] T. Cheon, P. Exner:
    Persistent currents due to point obstacles
    Phys. Lett. A307 (2003), 209-214 [quant-ph/0202147, abs]
  • [149] P. Exner, S. Kondej:
    Bound states due to a strong delta interaction supported by a curved surface
    J. Phys. A36 (2003), 443-457 [mp_arc 02-461; math-ph/0207025, abs]
  • [148] E.N. Bulgakov, P. Exner, K.N. Pichugin, A.F. Sadreev:
    Multiple bound states in scissor-shaped waveguides
    Phys. Rev. B66 (2002), 155109 (7pp) [cond-mat/0206397, abs]
  • [147] D. Borisov, P. Exner, R. Gadyľshin:
    Geometric coupling thresholds in a two-dimensional strip
    J. Math. Phys. 43 (2002), 6265-6278 [mp_arc 02-268; quant-ph/0206113, abs]
  • [146] P. Exner, S. Kondej:
    Curvature-induced bound states for a delta interaction supported by a curve in R^3
    Ann. H. Poincar 3 (2002), 967-981 [mp_arc 02-133; math-ph/0203028, abs]
  • [145] P. Exner, K. Yoshitomi:
    Persistent currents for 2D Schroedinger operator with a strong delta-interaction on a loop
    J. Phys. A35 (2002), 3479-3487 [mp_arc 02-13; math-ph/0201020, abs]
  • [144] P. Exner, P. Šťovíček, P. Vytřas:
    Generalised boundary conditions for the Aharonov-Bohm effect combined with a homogeneous magnetic field
    J. Math. Phys. 43 (2002), 2151-2168 [mp_arc 01-415; quant-ph/0111050, abs]
  • [143] P. Exner, K. Němcová:
    Quantum mechanics of layers with a finite number of point perturbations
    J. Math. Phys. 43 (2002), 1152-1184 [mp_arc 01-109; math-ph/0103030, abs]
  • [142] P. Exner, K. Yoshitomi:
    Asymptotics of eigenvalues of the Schroedinger operator with a strong delta-interaction on a loop
    J. Geom. Phys. 41 (2002), 344-358 [mp_arc 01-108; math-ph/0103029, abs]
  • [141] P. Exner, K. Yoshitomi:
    Band gap of the Schroedinger operator with a strong delta-interaction on a periodic curve
    Ann. H. Poincar 2 (2001), 1139-1158 [mp_arc 01-226; math-ph/0106025, abs]
  • [140] P. Exner, K. Němcová:
    Bound states in point-interaction star graphs
    J. Phys. A34 (2001), 7783-7794 [mp_arc 01-213; quant-ph/0106047, abs]
  • [139] P. Exner, A. Joye, H. Kovařík:
    Magnetic transport in a straight parabolic channel
    J. Phys. A34 (2001), 9733-9752 [mp_arc 01-111; math-ph/0103036, abs]
  • [138] P. Exner, D. Krejčiřík:
    Bound states in mildly curved layers
    J. Phys. A34 (2001), 5969-5985 [mp_arc 01-110; math-ph/0103032, abs]
  • [137] P. Duclos, P. Exner, D. Krejčiřík:
    Bound states in curved quantum layers
    Commun. Math. Phys. 223 (2001), 13-28 [mp_arc 01-79; math-ph/0102033, abs]
  • [136] P. Exner, H. Neidhardt, V. Zagrebnov:
    Potential approximations to delta': an inverse Klauder phenomenon with norm-resolvent convergence
    Commun. Math. Phys. 224 (2001), 593-612 [mp_arc 01-107; math-ph/0103027, abs]
  • [135] P. Exner, T. Ichinose:
    Geometrically induced spectrum in curved leaky wires
    J. Phys. A34 (2001), 1439-1450 [mp_arc 00-447; math-ph/0011015, abs]
  • [134] P. Exner:
    Bound states of infinite curved polymer chains
    Lett. Math. Phys. 57 (2001), 87-96 [mp_arc 00-421; math-ph/0010046, abs]
  • [133] P. Exner, A. Joye:
    Avoided crossings in mesoscopic systems: electron propagation on a non-uniform magnetic cylinder
    J. Math. Phys. 42 (2001), 4707-4738 [mp_arc 00-419; math-ph/0010042, abs]
  • [132] D. Borisov, P. Exner, R. Gadyľshin, D. Krejčiřík:
    Bound states in weakly deformed strips and layers
    Ann. H. Poincar 2 (2001), 553-572 [mp_arc 00-473; math-ph/0011052, abs]
  • [131] P. Exner, M. Tater, D. Vaněk:
    A single-mode quantum transport in serial-structure geometric scatterers
    J. Math. Phys. 42 (2001), 4050-4078 [mp_arc 01-101; quant-ph/0103094, abs]
  • [130] P. Exner, T. Weidl:
    Lieb-Thirring inequalities on trapped modes in quantum wires
    Proceedings of the XIII International Congress on Mathematical Physics (London 2000), International Press of Boston, 2001; pp.437-443 [mp_arc 00-336]
  • [129] S.A. Albeverio, P. Exner, V.A. Geyler:
    Geometric phase related to point-interaction transport on a magnetic Lobachevsky plane
    Lett. Math. Phys. 55 (2001), 9-16 [mp_arc 00-320; math-ph/0008031, abs]
  • [128] P. Duclos, P. Exner, B. Meller:
    Resonances from perturbed symmetry in open quantum dots
    Rep. Math. Phys. 47 (2001), 253-267 [mp_arc 00-279; math-ph/0006031, abs]
  • [127] P. Šeba, P. Exner, K.N. Pichugin, A. Vyhnal, P. Středa:
    Two-component interference effect: model of a spin-polarized transport
    Phys. Rev. Lett. 86 (2001), 1598-1601 [cond-mat/0005410, abs]
  • [126] P. Exner, D. Krejčiřík:
    Waveguides coupled through a semitransparent barrier: a Birman-Schwinger analysis
    Rev. Math. Phys. 13 (2001), 307-334 [mp_arc 00-248; math-ph/0005030, abs]
  • [125] P. Exner, V.A. Geyler:
    Berry phase for a potential well transported in a homogeneous magnetic field
    Phys. Lett. A276 (2000), 16-18 [mp_arc 00-218; quant-ph/0005037, abs]
  • [124] T. Cheon, P. Exner, P. Šeba:
    Wave function shredding by sparse quantum barriers
    Phys. Lett. A277 (2000), 1-6 [quant-ph/0004058, abs]
  • [123] P. Exner, V.A. Geyler:
    Berry phase in magnetic systems with point interactions
    J. Geom. Phys. 36 (2000), 178-197 [mp_arc 99-431; quant-ph/9911060, abs]
  • [122] P. Exner, H. Kovařík:
    Magnetic strip waveguides
    J. Phys. A33 (2000), 3297-3311 [mp_arc 99-399; cond-mat/9910301, abs]
  • [121] P. Exner, H. Grosse:
    Some properties of the one-dimensional generalized point interactions (a torso)
    [mp_arc 99-390; math-ph/9910029]
  • [120] P. Duclos, P. Exner, D. Krejčiřík:
    Locally curved quantum layers
    Ukrainian J. Phys., 45 (2000), 595-601 [mp_arc 99-376; quant-ph/9910035]
  • [119] P. Exner, M. Hirokawa, O. Ogurisu:
    Anomalous Pauli electron states for magnetic fields with tails
    Lett. Math. Phys. 50 (1999), 103-114 [mp_arc 00-67; math-ph/9909011, abs]
  • [118] P. Exner:
    Point interaction in a tube
    in "Stochastic Processes: Physics and Geometry: New Interplayes II" (A volume in honor of S. Albeverio; F. Gesztesy et al., eds.); CMS Conference Proceedings, vol.29, Providence, R.I. 2000; pp. 165-174.
    [mp_arc 99-301; math-ph/9908017]
  • [117] P. Exner, A. Joye , H. Kovařík:
    Edge currents in the absence of edges
    Phys. Lett. A264 (1999), 124-130 [mp_arc 99-299; cond-mat/9908248, abs]
  • [116] P. Exner, D. Krejčiřík:
    Quantum waveguides with a lateral semitransparent barrier: spectral and scattering properties
    J. Phys. A32 (1999), 4475-4494 [mp_arc 99-124; cond-mat/9904379, abs]
  • [115] F. Bentosela, R.M. Cavalcanti, P. Exner, V.A. Zagrebnov:
    Anomalous electron trapping by localized magnetic fields
    J. Phys. A32 (1999), 3029-3039 [mp_arc 99-56; math-ph/9903030, abs]
  • [114] P. Exner, S.A. Vugalter:
    On the number of particles that a curved quantum waveguide can bind
    J. Math. Phys. 40 (1999), 4630-4638 [mp_arc 98-8; math.FA/9801021, abs]
  • [113] P. Exner, E.M. Harrell, M. Loss:
    Optimal eigenvalues for some Laplacians and Schroedinger operators depending on curvature
    Proceedings of QMath7 (Prague 1998); Birkhauser series "Operator Theory: Advances and Applications"; pp. 47-58 [mp_arc 99-32; math-ph/9901022]
  • [112] F. Bentosela, P. Exner, V.A. Zagrebnov:
    Anomalous electron trapping by magnetic flux tubes and electric current vortices
    Proceedings of QMath7 (Prague 1998); Birkhauser series "Operator Theory: Advances and Applications"; pp. 191-196 [mp_arc 98-729; math-ph/9810016]
  • [111] J. Asch, P. Duclos, P. Exner:
    Stability of driven systems with growing gaps. Quantum rings and Wannier ladders
    J. Stat. Phys. 92 (1998), 1053-1069 [mp_arc 98-539; math-ph/9807025, abs]
  • [110] P. Exner, P. Šeba:
    Probability current tornado loops in three-dimensional scattering
    Phys. Lett. A245 (1998), 35-39 [quant-ph/9710030, abs]
  • [109] F. Bentosela, P. Exner, V.A. Zagrebnov:
    Electron trapping by a current vortex
    J. Phys. A31 (1998), L305-311 [cond-mat/9803166, abs]
  • [108] P. Exner, A.F. Sadreev, P. Šeba, P. Feher, P. Středa:
    Strength of topologically induced magnetic moments in a quantum device
    Phys. Rev. Lett. 80 (1998), 1710-1713 [cond-mat/9709280, abs]
  • [107] P. Duclos, P. Exner, B. Meller:
    Exponential bounds on curvature-induced resonances in a two-dimensional Dirichlet tube
    Helv. Phys. Acta 71 (1998), 133-162 [mp_arc 97-482; funct-an/9709001; text]
  • [106] P. Exner, M. Tater:
    Evanescent modes in multiple scattering factorization
    Czech. J. Phys 48 (1998), 617-624 [cond-mat/9710051, abs]
  • [105] F. Bentosela, P. Exner, V.A. Zagrebnov:
    A mechanism of porous silicon luminiscence
    Phys. Rev. B57 (1998), 1382-1385 [cond-mat/9709281, abs]
  • [104] P. Exner, S.A. Vugalter:
    Bound-state asymptotic estimates for window-coupled Dirichlet strips and layers
    J. Phys A30 (1997), 7863-7878 [mp_arc 97-523; funct-an/9709003, abs]
  • [103] J. Asch, P. Duclos, P. Exner:
    Stark-Wannier Hamiltonians with pure point spectrum
    Proceedings of the Conference on Partial Differential Equations (Potsdam 1996), Akademie Verlag, Berlin 1997; pp. 10-25
  • [102] P. Exner:
    A duality between Schroedinger operators on graphs and certain Jacobi matrices
    Ann. Inst. H. Poincar 66 (1997), 359-371 [mp_arc 95-414; funct-an/9509002, text]
  • [101] P. Exner, P. Šeba:
    Resonance statistics in a microwave cavity with a thin antenna
    Phys. Lett. A228 (1997), 146-150 [quant-ph/9702022, abs]
  • [100] P. Exner:
    Magnetoresonances on a lasso graph
    Found. Phys. 27 (1997), 171-190 [mp_arc 97-7; quant-ph/9701007]
  • [99] P. Exner, S.A. Vugalter:
    Bounds states in a locally deformed waveguide: the critical case
    Lett. Math. Phys. 39 (1997), 59-68 [mp_arc 96-15; funct-an/9601002, abs]
  • [98] P. Exner, P. Šeba:
    Point interactions in dimension two and three as models of small scatterers
    Phys. Lett. A222 (1996), 1-4 [cond-mat/9607016, abs]
  • [97] P. Exner, R. Gawlista, P. Šeba, M. Tater:
    Point interactions in a strip
    Ann. Phys. 252 (1996), 133-179 [mp_arc 96-320; cond-mat/9607017, abs]
  • [96] P. Exner, S.A. Vugalter:
    Asymptotic estimates for bound states in quantum waveguides coupled laterally through a narrow window
    Ann. Inst. H. Poincar 65 (1996), 109-123 [mp_arc 96-29; funct-an/9602001, text]
  • [95] P. Exner:
    Weakly coupled states on branching graphs
    Lett. Math. Phys. 38 (1996), 313-320 [mp_arc 95-522; funct-an/9512001, abs]; erratum 42 (1997), 193 [doi]
  • [94] P. Exner, P. Šeba, M.Tater, D. Vaněk:
    Bound states and scattering in quantum waveguides coupled laterally through a boundary window
    J. Math. Phys. 37 (1996), 4867-4887 [mp_arc 95-527; cond-mat/9512088, abs]
  • [93] P. Exner, R. Gawlista:
    Band spectra of rectangular graph superlattices
    Phys. Rev. B53 (1996), 7275-7286 [mp_arc 95-398; cond-mat/9509027, abs]
  • [92] P. Exner:
    Contact interactions on graph superlattices
    J. Phys. A29 (1996), 87-102 [mp_arc 95-415; funct-an/9509001, abs]
  • [91] P. Duclos, P. Exner, P. Šťovíček:
    Resonances at bends of a two-dimensional quantum waveguide
    in Proceedings of the Conference on Stochastic Processes, Physics and Geometry (Locarno 1991); World Scientific, Singapore 1995; pp. 199-208.
  • [90] P. Exner:
    A quantum pipette
    J. Phys. A28 (1995), 5323-5330 [mp_arc 95-417, abs]
  • [89] P. Exner:
    The absence of the absolutely continuous spectrum for delta' Wannier-Stark ladders
    J. Math. Phys. 36 (1995), 4561-4570 [mp_arc 95-408, abs]
  • [88] P. Exner:
    Lattice Kronig-Penney models
    Phys. Rev. Lett. 74 (1995), 3503-3506 [abs]
  • [87] P. Duclos, P. Exner, P. Šťovíček:
    Curvature-induced resonances in a two-dimensional Dirichlet tube
    Ann. Inst. H. Poincar 62 (1995), 81-101 [text]
  • [86] P. Duclos, P. Exner:
    Curvature-induced bound states in quantum waveguides in two and three dimensions
    Rev. Math. Phys. 7 (1995), 73-102 [abs]
  • [85] J.-P. Antoine, P. Exner, P. Šeba, J. Shabani:
    A Fermi-type rule for contact embedded-eigenvalue perturbations
    in Proceedings of the Conference on Mathematical Results in Quantum Mechanics (Blossin 1993); Birkhauser Verlag, Basel 1994; pp. 79-87
  • [84] P. Exner, M. Tater:
    A one-band model for a weakly coupled quantum-wire resonator
    Phys. Rev. B50 (1994), 18350-18354 [abs]
  • [83] P. Exner, E. Šerešová:
    Appendix resonances on a simple graph
    J. Phys. A27 (1994), 8269-8278 [abs]
  • [82] J.-P. Antoine, P. Exner, P. Šeba, J. Shabani:
    A mathematical model of heavy-quarkonia mesonic decays
    Ann. Phys. 233 (1994), 1-16 [abs]
  • [81] J.F. Brasche, P. Exner, Yu.A. Kuperin, P. Šeba:
    Schroedinger operators with singular interactions
    J. Math. Anal. Appl. 184 (1994), 112-139 [abs]
  • [80] J.E. Avron, P. Exner, Y. Last:
    Periodic Schroedinger operators with large gaps and Wannier-Stark ladders
    Phys. Rev. Lett. 72 (1994), 896-899 [mp_arc 94-12]. [mp_arc 94-12, abs]
  • [79] P. Exner:
    A twisted Landau gauge
    Phys. Lett. A178 (1993), 236-238 [abs]
  • [78] P. Exner:
    Bound states in quantum waveguides of a slowly decaying curvature
    J. Math. Phys. 34 (1993), 23-28 [abs]
  • [77] P. Exner, A. Truman:
    Models of K-capture decay: stochastic vs. quantum mechanics
    in Proceedings of the Conference on Stochastic and Quantum Mechanics (Swansea 1990); World Scientific, Singapore 1992; pp. 130-150 [text]
  • [76] P. Exner, P. Šeba:
    Schroedinger operators on unusual manifolds
    in "Ideas and Methods in Quantum and Statistical Physics", R. Hoegh-Krohn's Memorial, vol. 2, Cambridge University Press 1992; pp. 227-253
  • [75] J. Dittrich, P. Exner, P. Šeba:
    Dirac Hamiltonian with Coulomb potential and spherically symmetric shell contact interaction
    J. Math. Phys. 33 (1992), 2207-2214 [abs]
  • [74] P. Exner:
    Quantum waveguides: energy bounds and critical thickness
    in Proceedings of the Conference on Rigorous Results in Quantum Dynamics (Liblice 1990); World Scientific, Singapore 1991; pp. 125-142
  • [73] P. Exner:
    Spectral properties of bent quantum wires
    in Proceedings of the Summer School on Recent Developments in Quantum Mechanics (Poiana Brasov 1989), Kluwer, Dordrecht 1991; pp. 257-264
  • [72] P. Exner:
    A solvable model of two-channel scattering
    Helv. Phys. Acta 64 (1991), 592-609 [text]
  • [71] P. Duclos, P. Exner:
    Curvature vs. thickness in quantum waveguides
    Czech. J. Phys. 41 (1991), 1009-1018 [abs]; erratum 42 (1992), 344 [doi]
  • [70] J. Dittrich, P. Exner, P. Šeba:
    Dirac Hamiltonian with Coulomb potential and contact interaction on the sphere
    in Proceedings of the Workshop on Order, Disorder and Chaos in Quantum Systems (Dubna 1989), Integral Equations and Operator Theory, vol. 46; Birkhauser Verlag, Basel 1990; pp. 209-215
  • [69] P. Exner:
    Bound states and resonances in quantum wires
    in Proceedings of the Workshop on Order, Disorder and Chaos in Quantum Systems (Dubna 1989), Integral Equations and Operator Theory, vol. 46; Birkhauser Verlag, Basel 1990; pp. 65-84
  • [68] M.S. Ashbaugh, P. Exner:
    Lower bounds to bound state energies in bent tubes
    Phys. Lett. A150 (1990), 183-186 [abs]
  • [67] P. Exner, P. Šeba, P. Šťovíček:
    Semiconductor edges can bind electrons
    Phys. Lett. A150 (1990), 179-182 [abs]
  • [66] P. Exner:
    A model of resonance scattering on curved quantum wires
    Annalen der Physik 47 (1990), 123-138 [abs]
  • [65] P. Exner, P. Šeba:
    Trapping modes in a curved electromagnetic waveguide with perfectly conducting walls
    Phys. Lett. A144 (1990), 347-350 [abs]
  • [64] P. Exner, P. Šeba:
    Electrons in semiconductor microstructures: a challenge to operator theorists
    in Proceedings of the Workshop on Schroedinger Operators, Standard and Nonstandard (Dubna 1988), World Scientific, Singapore 1989; pp. 79-100
  • [63] J. Dittrich, P. Exner, P. Šeba:
    Dirac Hamiltonian with contact interaction on a sphere
    in Proceedings of the Workshop on Schroedinger Operators, Standard and Nonstandard (Dubna 1988), World Scientific, Singapore 1989; pp. 133-147
  • [62] P. Exner, P. Šeba:
    Bound states in classical and quantum waveguides
    in Proceedings of the Symposium on Partial Differential Equations (Holzhau 1988), Teubner Texte zur Mathematik, Band 112, Teubner, Leipzig 1989; pp. 131-138
  • [61] P. Exner, P.Šeba, P. Šťovíček:
    Quantum waveguides modelled by graphs
    in Proceedings of the 24th Winter School on Stochastic Methods in Mathematics and Physics (Karpacz 1988), World Scientific, Singapore 1989; pp. 375-384
  • [60] P. Exner, P. Šeba:
    Quantum junctions and the selfadjoint-extension theory
    in Proceedings of the Workshop on Applications of Self-Adjoint Extensions in Quantum Physics (Dubna 1987); Lecture Notes in Physics, vol. 324, Springer, Heidelberg 1989; pp. 203-217
  • [59] P. Exner, P.Šeba, P. Šťovíček:
    Quantum waveguides
    in Proceedings of the Workshop on Applications of Self-Adjoint Extensions in Quantum Physics (Dubna 1987); Lecture Notes in Physics, vol. 324, Springer, Heidelberg 1989; pp. 257-266
  • [58] P. Exner, P. Šeba:
    Free quantum motion on a branching graph
    Rep. Math. Phys. 28 (1989), 7-26 [abs]
  • [57] J. Dittrich, P. Exner, P. Šeba:
    Dirac operators with a spherically symmetric delta-shell interaction
    J. Math. Phys. 30 (1989), 2875-2580 [abs]
  • [56] P. Exner:
    One more theorem on the short-time regeneration rate
    J. Math. Phys. 30 (1989), 2563-2564 [abs]
  • [55] P. Exner, P. Šeba:
    Bound states in curved quantum waveguides
    J. Math. Phys. 30 (1989), 2574-2580 [abs]
  • [54] P. Exner:
    Resonances in curved quantum wires
    Phys. Lett. A141 (1989), 213-216 [abs]; erratum A144 (1990), 501 [doi]
  • [53] P. Exner, P.Šeba, P. Šťovíček:
    On existence of a bound state in an L-shaped waveguide
    Czech. J. Phys. B39 (1989), 1181-1191 [abs]
  • [52] J. Dittrich, P. Exner:
    A non-relativistic model of two-particle decay, IV. Relation to the scattering theory, spectral concentration and bound states
    Czech. J. Phys. B39 (1989), 121-138 [abs]
  • [51] P. Exner, P.Šeba, P. Šťovíček:
    Quantum interference on graphs controlled by an external electric field
    J. Phys. A21 (1988), 4009-4019 [abs]
  • [50] J. Dittrich, P. Exner:
    A non-relativistic model of two-particle decay, III. The pole approximation
    Czech. J. Phys. B38 (1988), 591-610 [abs]
  • [49] P. Exner, P. Šeba:
    A simple model of thin film point contact in two and three dimensions
    Czech. J. Phys. B38 (1988), 1095-1110 [abs]
  • [48] P. Exner, P. Šeba:
    A new type of quantum interference transistor
    Phys. Lett. 129A (1988), 477-480 [abs]
  • [47] P. Exner, P. Šeba:
    Quantum-mechanical splitters: how one should understand them?
    Phys. Lett. 128A (1988), 493-496 [abs]
  • [46] P. Exner, P. Šeba:
    Mathematical models of quantum point-contact spectroscopy
    Czech. J. Phys. B38 (1988), 1-11 [abs]
  • [45] J. Dittrich, P. Exner:
    A non-relativistic model of two-particle decay, II. Reduced resolvent
    Czech. J. Phys. B37 (1987), 1028-1034 [abs]
  • [44] J. Dittrich, P. Exner:
    A non-relativistic model of two-particle decay, I. Galilean invariance
    Czech. J. Phys. B37 (1987), 503-515 [abs]
  • [43] P. Exner, P. Šeba:
    Quantum motion on a halfline connected to a plane
    J. Math. Phys. 28 (1987), 386-391 [abs]; erratum p. 2254 [doi]
  • [42] P. Exner, P. Šeba:
    Quantum motion on two planes connected at one point
    Lett. Math. Phys. 12 (1986), 193-198 [abs]
  • [41] J. Dittrich, P. Exner:
    Nonexistence of finite-energy solutions in some gauge models
    Czech. J. Phys. B36 (1986), 1255-1258 [abs]
  • [40] P. Exner:
    Open quantum systems and Feynman integrals: some problems
    Czech. J. Phys. B36 (1986), 1242-1254 [abs]
  • [39] J. Dittrich, P. Exner:
    Proton decay cannot be suppressed kinematically
    Phys. Rev. D32 (1985), 1170-1176 [abs]
  • [38] J. Dittrich, P. Exner:
    Tunneling through a singular potential barrier
    J. Math. Phys. 26 (1985), 2000-2008 [abs]
  • [37] P. Exner, O. Navrátil:
    On a complete set of irreducible highest-weight representations for sl(3,C)
    Czech. J. Phys. B35 (1985), 359-369 [abs]
  • [36] P. Exner:
    Unstable quantum systems and Feynman integrals (in Russian)
    Sov. J. Phys. Elem. Part. Atom. Nucl. 15 (1984), 121-155 [abs]
  • [35] P. Exner:
    Some simple conditions on bound states of Schroedinger operators in dimension d larger or equal to three
    Czech. J. Phys. B34 (1984), 1019-1031 [abs]
  • [34] P. Exner:
    On the "kinematical fragmentation" in proton decay
    Czech. J. Phys. B34 (1984), 1145-1149 [abs]
  • [33] P. Exner:
    Generalized Bargmann inequalities
    Rep. Math. Phys. 19 (1984), 249-255 [abs]
  • [32] P. Exner:
    Representations of the Poincar group associated with unstable particles
    Phys. Rev. D28 (1983), 2621-2627 [abs]
  • [31] P. Exner, I. Úlehla:
    On the optical approximation in two-channel systems
    J. Math. Phys. 24 (1983), 1542-1547 [abs]
  • [30] P. Exner:
    Complex-potential description of the damped harmonic oscillator
    J. Math. Phys. 24 (1983), 1129-1135 [abs]
  • [29] P. Exner:
    Complex potentials and rigorous Feynman integrals
    in Proceedings of the International Symposium on Selected Topics in Quantum Field Theory and Mathematical Physics (Bechyne 1981); Czech. J. Phys. B32 (1982), 628-632 [abs]
  • [28] P. Exner:
    On the "Feynman paths"
    Lett.Math.Phys. 6 (1982), 215-220 [abs]
  • [27] P. Exner, G.I. Kolerov:
    Polygonal-path approximations on path spaces of quantum-mechanical systems
    Int. J. Theor. Phys. 21 (1982), 397-417 [abs]
  • [26] P. Exner, G.I. Kolerov:
    Uniform product formulae with application to the Feynman-Nelson integral for open systems
    Lett. Math. Phys. 6 (1982), 153-159 [abs]
  • [25] J. Blank, P. Exner, M. Havlíček, W. Lassner:
    Boson-fermion representations of Lie superalgebras: an example of osp(1,2)
    J. Math. Phys. 23 (1982), 350-353 [abs]
  • [24] P. Exner, G.I. Kolerov:
    Path-integral expression of dissipative dynamics
    Phys. Lett. 83A (1981), 203-206 [abs]
  • [23] P. Exner, G.I. Kolerov:
    Feynman maps without improper integrals
    Czech. J. Phys. B31 (1981), 1207-1224 [abs]
  • [22] P. Exner, G.I. Kolerov:
    On Hilbert spaces of paths
    Czech. J. Phys. B31 (1981), 470-474 [abs]
  • [21] C. Burdik, P. Exner, M. Havlíček:
    A complete set of irreducible highest-weight representations for sl(3,C)
    Czech. J. Phys. B31 (1981), 1201-1206 [abs]
  • [20] C. Burdik, P. Exner, M. Havlíček:
    Highest-weight representations of sl(2,C) and sl(3,C) via canonical realizations
    Czech. J. Phys. B31 (1981), 459-469 [abs]
  • [19] Č. Burdík, P. Exner, M. Havlíček:
    Highest-weight representations of the sl(n+1,C) Lie algebras: maximal representations
    J. Phys. A14 (1981), 1039-1054 [abs]
  • [18] P. Exner:
    Bounded-energy approximation to an unstable quantum system
    Rep. Math. Phys. 17 (1980), 275-285 [abs]
  • [17] J. Blank, P. Exner, M.Havlíček:
    Quantum-mechanical pseudo-Hamiltonians
    Czech. J. Phys. B29 (1979), 1325-1341 [abs]
  • [16] M. Havlíček, P. Exner:
    Matrix canonical realizations of the Lie algebra o(m,n), II. Casimir operators
    Czech. J. Phys. B28 (1978), 949-962 [abs]
  • [15] J. Blank, P. Exner:
    Remarks on tensor products and their applications in quantum theory, II. Spectral properties
    Acta Univ. Carolinae, Math. Phys. 18 (1977), 3-35
  • [14] J. Blank, P.Exner:
    Remarks on tensor products and their applications in quantum theory, I. General considerations
    Acta Univ. Carolinae, Math. Phys. 17 (1976), 75-89
  • [13] J. Dolejší, P. Exner:
    Corrections to the exponential decay law: are they observable?
    Czech. J. Phys. B27 (1977), 855-864 [abs]
  • [12] P. Exner:
    Unstable systems and repeated measurements, III. Example (homogeneous chamber), conjecture for the general case and discussion
    Czech. J. Phys. B27 (1977), 361-372 [abs]
  • [11] P. Exner:
    Unstable systems and repeated measurements, II. Examples (exponential primary decay law, idealized spark chamber)
    Czech. J. Phys. B27 (1977), 233-246 [abs]
  • [10] P. Exner:
    Unstable systems and repeated measurements, I. General considerations
    Czech. J. Phys. B27 (1977), 117-126 [abs]
  • [9] P. Exner, M. Havlíček, W. Lassner:
    Canonical realizations of classical Lie algebras
    Czech. J. Phys. B26 (1976), 1213-1228 [abs]
  • [8] P. Exner:
    Remark on the energy spectrum of a decaying system
    Commun. Math. Phys. 50 (1976), 1-10 [abs]
  • [7] P. Exner:
    Remark on the decay of a mixed state
    Czech. J. Phys. B26 (1976), 976-982 [abs]
  • [6] M. Havlíček, P. Exner:
    Matrix canonical realizations of the Lie algebra o(m,n), I. Basic formulae and classification
    Ann. Inst. H. Poincar A23 (1975), 335-347 [text]
  • [5] M. Havlíček, P. Exner:
    On the minimal canonical realization of the Lie algebra OC(n)
    Ann. Inst. H. Poincar A23 (1975), 313-333 [text]
  • [4] M. Havlíček, P. Exner:
    Remarks on two-component equations for massive leptons
    Physica Scripta 9 (1974), 161-162 [abs]
  • [3] M. Havlíček, P. Exner:
    Note on the description of an unstable system
    Czech. J. Phys. B23 (1973), 594-600 [abs]
  • [2] P. Exner:
    Inelastic e-p scattering in the polarized case
    Nucl. Phys. B19 (1970), 42-50 [abs]
  • [1] P. Exner, J. Tolar:
    On S-transformation in the strong coupling theory
    Czech. J. Phys. B19 (1969), 1480-1485 [abs]

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