A tentative schedule

Sunday June 21

10.00-19.00 Registration

Monday June 22

8.00-9.00 Registration

9.00-9.05 Conference opening

First morning session
Chair: L.A. Pastur

9.05-10.05
J.M. Combes (Marseille and Toulon): Some spectral problems related to photonic crystals

10.05-10.35
R. Hempel (Braunschweig): Spectral properties of strongly inhomogeneous periodic media

10.35-11.15 Coffee break

Second morning session
Chair: J. Bellissard

11.15-12.15
J.E. Avron (Technion, Haifa): Quantum adiabatic theorems

12.15-12.45
A. Jensen (Aarhus): Some recent results in time-dependent Schroedinger operators

12.45-14.00 Lunch break

First afternoon session

Lecture room 103

Chair: P. Kuchment

14.00-14.20
M. Combescure (Orsay): A rigorous proof of Gutzwiller's trace formula

14.30-14.50
M. Kiessling (Rutgers): On eigenvalue density of random matrices

15.00-15.20
S. De Bievre (Lille): On the semi-classical analysis os quantized "chaotic" maps on the torus

15.30-15.50
M. Novitskii (Kharkov): Nonexponential estimates of the angle between stable and unstable separatrices for Taylor-Chirikov-Green mapping

Lecture room 114

Chair: W. Karwowski

14.00-14.20
H. Neidhardt (Potsdam): Operator-norm convergence for the Trotter-Kato product formula

14.30-14.50
V. Zagrebnov (Marseille): Error estimates for the Trotter product formula

15.00-15.20
S.B. Sontz (Mexico City): A reverse log-Sobolev inequality in the Segal-Bargmann space

15.30-15.50
C. Villegas-Blas (Cuernavaca Morelos): The Segal-Barmann transform and canonical transformations

Lecture room 115

Chair: G. Stolz

14.00-14.20
D. Yafaev (Rennes): The discrete spectrum in the singular Friedrichs model with oscillating kernel

14.30-14.50
M. Demuth (Clausthal): Generalized Pearson estimate for wave operators

15.00-15.20
D. Robert (Nantes): Spectral shift function for the Dirac operator

15.30-15.50
A. Hassell (Canberra): Scattering calculus and the N-body problem

Lecture room 215

Chair: L. Erdos

14.00-14.20
L. Sadun (Austin): Generic behavior of topological quantum numbers

14.30-14.50
P. Levay (Budapest): Adiabatic curvature, chaos, and deformations of Riemann surfaces

15.00-15.20
I. Shereshevsky (Nizhni Novgorod): Vortices in Ginzburg-Landau equation: numerical results and analytical problems

15.30-15.50
G. Goldin (Rutgers): Quantum kinematics of vortex filaments

15.50-16.30 Coffee break
Second afternoon session

Lecture room 103

Chair: J. Yngvason

16.30-16.50
V. Ivrii (Toronto): Asymptotics of the ground state energy and ionization energy for atoms and molecules in strong magnetic field

17.00-17.20
M.B. Ruskai (Lowell): One-dimensional models for many-electron atoms in strong magnetic fields

17.30-17.50
G.M. Zhislin (Nizhni Novgorod): The present state of the study of the discrete spectrum of many-particle Hamiltonians with homogeneous magnetic field for particles with finite masses

18.00-18.20
M. Griesemer (Regensburg): Instability for relativistic matter with self-generated magnetic fields

Lecture room 114

Chair: Ph. Martin

16.30-16.50
F. Brambila Paz (Mexico City): Lax-Phillips scattering theory for short and long range perturbations

17.00-17.20
L.P. Horwitz (Tel Aviv): Representation of quantum mechanical resonances in the framework of Lax-Phillips scattering theory

17.30-17.50
A. Motovilov (Dubna): Operator interpretation of resonances arising in spectral problem for 2x2 matrix Hamiltonians

18.00-18.20
S. Pascazio (Bari): Temporal evolutions in quantum mechanics and quantum Zeno effect

Lecture room 115

Chair: E.M. Harrell

16.30-16.50
F. Kleespies (Frankfurt a.M.): Localization and Lifshitz tails for random quantum waveguides

17.00-17.20
O. Vakhnenko (Kiev): Bend-imitating approach in quantum wire-like nanostructures

17.30-17.50
K. Yoshitomi (Fukuoka): Band-gap of the spectrum in periodically curved quantum waveguides

18.00-18.20
D. Krejcirik (Prague): Birman-Schwinger analysis for bound states in a pair of parallel quantum waveguides with a semitransparent boundary

Lecture room 215

Chair: G. Rozenblioum

16.30-16.50
J. Voigt (Dresden): The non-autonomous Kato class

17.00-17.20
Ch. Remling (Osnabrueck): Embedded singular spectrum of 1D Schroedinger operators

17.30-17.50
P. Stovicek (Prague): Perturbation of an eigenvalue from a dense point spectrum: a general Floquet Hamiltonian

18.00-18.20
D. Damanik (Frankfurt a.M.): Singular continuous spectrum for substitution Hamiltonians

Tuesday June 23

First morning session
Chair: M. Combescure

9.00-10.00
L.A. Pastur (Kharkov and Paris): On a heuristic derivation of the Mott formula for low-frequency conductivity of disordered systems

10.00-10.30
Ph.-A. Martin (Lausanne): Scattering with time periodic potentials and cyclic states

10.30-11.15 Coffee break

Second morning session
Chair: Y. Colin de Verdiere

11.15-12.15
F. Gesztesy (Columbia-Missouri): Uniqueness theorems for Schroedinger, Jacobi, and Dirac-type operators and recovery of potentials from various spectral data

12.15-12.45
S.T. Kuroda (Tokyo, Gakushuin): H_{-2}-construction of general type and some applications to the spectral theory

12.45-14.00 Lunch break

First afternoon session

Lecture room 103

Chair: R. Hempel

14.00-14.20
P. Exner (Prague): Two results about vortices: "smoke loops" in transport and anomalous Pauli trapping

14.30-14.50
T. Suslina (St. Petersburg): Two-dimensional periodic Pauli operator. Effective masses at the lower edge of the spectrum

15.00-15.20
G. Raikov (Sofia): Asymptotic properties of the "magnetic" density of states

15.30-15.50
B. Konya (Debrecen): Charged particle in combined Coulomb plus homogeneous magnetic field

Lecture room 114

Chair: M. Demuth

14.00-14.20
V. Koshmanenko (Kiev): Construction and spectral properties of singularly perturbed operators

14.30-14.50
K. Watanabe (Tokyo): Some applications of the H_{-2}-construction

15.00-15.20
A. Teta (Rome): Schroedinger equation with concentrated nonlinearities

15.30-15.50
T. Alferova (Gomel): Relativistic two-particle one-dimensional scattering problem for superposition of delta potentials

Lecture room 115

Chair: P. Hislop

14.00-14.20
L. Erdos (Courant): Linear Boltzmann equation as a kinetic limit of random Schroedinger equation

14.30-14.50
V. Inozemtsev (Dubna): Quantum Heisenberg chain with elliptic exchange

15.00-15.20
H. Hirata (Tokyo): An example of a second-kind phase transition for some discrete Schroedinger operators with magnetic potential

15.30-15.50
E. Zhizhina (Moscow): A spectral analysis of stochastic disordered Ising model

Lecture room 215

Chair: W. Kirsch

14.00-14.20
Th. Hupfer (Erlangen): On upper bounds on the density of states for continuum Schroedinger operators with Gaussian random potentials and magnetic fields

14.30-14.50
G. Stolz (Birmingham, Al.): Multiparameter spectral averaging and localization for the random displacement model

15.00-15.20
F. Klopp (Paris 13): Coexistence of different spectral types for quasiperiodic Schroedinger equations in dimension one

15.30-15.50
P. Mueller (Goettingen): Aspects of a localization proof for continuum Schroedinger operators with Gaussian random potentials

15.50-16.30 Coffee break
Second afternoon session

Lecture room 103

Chair: J.-M. Combes

16.30-16.50
P. Kuchment (Wichita): On spectral problems of photonic crystals theory

17.00-17.20
A. Moroz (Amsterdam): "Gapology" for photonic crystals

17.30-17.50
A. Tip (Amsterdam): Quantization of conservative and lossy dielectrics

Lecture room 114

Chair: M.B. Ruskai

16.30-16.50
M. Damnjanovic (Beograd): Generalized Heisenberg-Dirac Hamiltonian

17.00-17.20
B. Meller (Santiago de Chile): Resonances in a box

17.30-17.50
N. Zettili (Dhahran): Construction of an exactly solvable fermion model

Lecture room 115

Chair: D. Yafaev

16.30-16.50
P. Kurasov (Stockholm): Few-body Krein's formula

17.00-17.20
Ch. Schulte (Clausthal): Quantum-mechanical symmetries and self-adjoint extensions on the pointed plane

17.30-17.50
V. Mikhailets (Bialystok): Schroedinger operators with local point interactions in dimension one

Lecture room 215

Chair: I. Shereshevsky

16.30-16.50
P. O'Hara (Chicago): Bell's inequality and the Pauli exclusion principle

17.00-17.20
L. Remezo (Liege): Symmetries of a completely integrable Hamiltonian system

17.30-17.50
M. Horvath (Budapest): Convergence and localization properties of the spectral expansion of Schroedinger and Dirac operators

19.30-21.00 Concert

Wednesday June 24

First morning session
Chair: S.T. Kuroda

9.00-10.00
J. Bellissard (UPS Toulouse): Electronic transport revisited: the variable range hopping theory

10.00-11.00
E.H. Lieb (Princeton): The ground state of low density Bose gas

11.00-11.45 Coffee break

Second morning session
Chair: R. Seiler

11.45-12.45
M.S. Birman (St. Petersburg): Two-dimensional periodic magnetic Hamiltonian with discontinuous vector potential is absolutely continuous

12.45-14.00 Lunch break

14.00-18.00 Sightseeing

Thursday June 25

First morning session
Chair: J.E. Avron

9.00-10.00
B. Simon (Caltech, Pasadena): A new approach to inverse spectral theory

10.00-10.30
Y. Colin de Verdiere (Grenoble): Singular Bohr-Sommerfeld quantization condition

10.30-11.15 Coffee break

Second morning session
Chair: E.H. Lieb

11.15-12.15
J. Yngvason (Vienna): Quantum dots

12.15-12.45
E.M. Harrell (Atlanta): Schroedinger operators containing curvature

12.45-14.00 Lunch break

First afternoon session

Lecture room 103

Chair: V. Ivrii

14.00-14.20
P. Hislop (Lexington): Correlated Wegner inequalities and localization for long-range and correlated potentials

14.30-14.50
F. Germinet (Paris 7): Dynamical localization and spectral properties. Application to random and quasi-periodic Schroedinger operators

15.00-15.20
W. Kirsch (Bochum): On the spectral theory of random Schroedinger operators

15.30-15.50
S. Tcheremchantsev (Orleans): Transport properties of Markovian Anderson model

Lecture room 114

Chair: T. Suslina

14.00-14.20
V. Geyler (Saransk): Band structure of the spectrum in some models with a magnetic field

14.30-14.50
M. Gruber (Berlin): Spectral nature of the Schroedinger operator with periodic magnetic field (rational flux)

15.00-15.20
O. Safronov (Stockholm): The discrete spectrum in the gaps of the continuous one for sign indefinite perturbations with a large coupling constant

15.30-15.50
I. Milosevic (Beograd): Symmetry classification of carbon nanotubes

Lecture room 115

Chair: S. De Bievre

14.00-14.20
D. Herrmann (Nijmegen): On spectral properties of Harper-like models

14.30-14.50
U. Kuhl (Marburg): A microwave realization of the Hofstadter butterfly

15.00-15.20
I. Popov (St. Petesburg): Solvable models for serially connected Aharonov-Bohm rings and localization effects

15.30-15.50
W. Spitzer (Princeton): Hydrodynamics of quasi-free quantum systems

Lecture room 215

Chair: R. del Rio

14.00-14.20
A. Boutet de Monvel (Paris 7): On the spectral properties of discrete Schroedinger operators

14.30-14.50
E. Korotyaev (St. Petersburg): Inverse problem for the Hill operator and estimates

15.00-15.20
J. Brasche (Bonn): Inverse spectral theory for self-adjoint extensions

15.30-15.50
V. Pivovarchik (Odessa): Some examples of inverse Sturm-Liouville problem with three spectra

15.50-16.30 Coffee break
Second afternoon session

Lecture room 103

Chair: F. Gesztesy

16.30-16.50
G. Rozenblioum (Goteborg): Eigenvalue estimates for Schroedinger-like operators with magnetic field

17.00-17.20
T. Weidl (Stockholm): Another look at Cwikel's inequality

17.30-17.50
W. Renger (Clausthal): Limiting absorption principle for singularly perturbed operators

Lecture room 114

Chair: V.I. Inozemtsev

16.30-16.50
G. Levai (Debrecen): Exactly solvable quantum mechanical potential problem

17.00-17.20
M. Znojil (Prague): Asymptotically decreasing potentials with discrete spectra

17.30-17.50
J.L. Carinena (Zaragoza): The Riccati equation and exactly solvable Hamiltonians

18.00-18.20
K. Shundyak (Odessa): Conductance of interacting region attached to noninteracting leads

Lecture room 115

Chair: G. Casati

16.30-16.50
P. Seba (Slemeno): Resonance trapping in a weakly open quantum dot

17.00-17.20
P. Leach (Durban): A classicist's opinion on quantum chaos

17.30-17.50
Y. Fyodorov (Essen): S-matrix statistics in quantum chaotic scattering: poles, phaseshifts and time delays

18.00-18.20
S. Gnutzmann (Essen): Quantum chaos and SU(3) dynamics

Lecture room 215

Chair: A. Jensen

16.30-16.50
E. Elizalde (Barcelona): The determinant anomaly in low-dimensional quantum systems

17.00-17.20
B. Grebert (Nantes): KAM theorem for nonlinear Schroedinger operator

17.30-17.50
W. Scherer (Clausthal): KAM theory for quantum systems

19.00-23.00 Conference dinner

Friday June 26

First morning session
Chair: B. Simon

9.00-10.00
R. Seiler (TU Berlin): Integrals of the discrete quantum pendulum

10.00-10.30
E. Mourre (Marseille): Geometry of decay properties for resolvent of a self-adjoint operator

10.30-11.15 Coffee break

Second morning session
Chair: L. Sadun

11.15-12.15
G. Casati (Milano): Relaxation in quantum chaos

12.15-12.45
R. del Rio Castillo (Mexico City): Boundary condition dependence for spectral measures of Sturm-Liouville operator

12.45-14.00 Lunch break

First afternoon session

Lecture room 103

Chair: V. Geyler

14.00-14.20
W. Karwowski (Wroclaw): Schroedinger operators perturbed by operators related to null sets

14.30-14.50
J.-C. Guillot (Paris 13): Inverse scattering at fixed energy for layered media

15.00-15.20
T. Cheon (Kochi): Exotic wavefunction aholonomy in one-dimensional quantum mechanics of generalized pointlike potentials

Lecture room 114

Chair: V. Zagrebnov

14.00-14.20
G. Sobczyk (Puebla, Mexico): Mathematics of quantum computing

14.30-14.50
J. Krause (Santiago do Chile): Solvable models in non-Abelian quantum kinematics and dynamics

15.00-15.20
J. Dittrich (Prague): Massive scalar field in in an oscillating bounded region

Lecture room 115

Chair: D. Robert

14.00-14.20
Z. Haba (Wroclaw): The classical limit of quantum dissipative systems

14.30-14.50
A. Kargol (Famagusta): A semiclassical method for Coulomb scattering

15.00-15.20
Z. Papp (Debrecen): The three-body Coulomb problem in three-potential formalism

Lecture room 215

Chair: H. Neidhardt

14.00-14.20
Ch.-A. Guerin (Marseille): Time-dependent scattering on fractal measures

14.30-14.50
A. Suzko (Dubna): Bargmann-Darboux transformations for parametric Schroedinger equations

15.00-15.20
O. Mustafa (Famagusta): The shifted-l expansion technique to get eigenvalues of Schroedinger, Dirac, and Klein-Gordon wave equation

15.20-16.00 Coffee break

Second afternoon session

Lecture room 103

Chair: G.M. Zhislin

16.00-16.20
I. Krasovsky (Dresden): Explicit solution to some second-order differential and q-difference eigenvalue equations related to sl_2 and U_q(sl_2)

16.30-16.50
J. Yanez (Santiago de Chile): Variational principle for the chemical potential in the Thomas-Fermi theory

Lecture room 114

Chair: J. Brasche

16.00-16.20
A. Streltsov (Vladivostok): Solving the Schroedinger equation with nonsingular potential using Hamiltonian degrees

16.30-16.50
G. Chadzitaskos (Prague): Coherent states over C^M

Lecture room 115

Chair: P. Levay

16.00-16.20
A. Onipko (Kiev): Quantum conductance of molecular wires: Green function description of real systems

16.30-16.50
N. Topor (Schenectady): Perturbation theory for boundary S-matrix in 2D quantum field theory

Lecture room 215

Chair: V. Koshmanenko

16.00-16.20
O. Deryuzkova (Gomel): Solving of the main equation of Poincare invariant quantum mechanics for model potential

16.30-16.50
R. Adami (Roma): The anisotropic Aharonov-Bohm effect

Updated: June 13, 1998