Petr Jizba,
Assistant Professor of Physics


Address 
Faculty of
Nuclear Sciences and Physical Engineering
Brehova 7
115 19 Praha 1
Czech Republic

Office
Address 
Physics
Department (office no.120c)
FNSPECTU
Brehova 7
115 19 Praha 1
Czech Republic

Phone 
++ (420)
224358295 
Fax 
++ (420)
222320861 
EMail 
p.jizba@fjfi.cvut.cz 
 He who knows does not speak.
 He who speaks does not
know.
Laotzu
Research Interests  Education
 Publications  Professional
Affiliations  Courses Taught  My Personal Links
Research Interests
I am currently
engaged in research projects in several fields. These include:
Statistical Physics: Foundational issues, nonequilibrium methods,
generalized statistics of Renyi and Tsallis, applications to
econophysics, multifractals.
Quantum Mechanics:
Feynman's path integral, geometric phases, foundations, 't
Hooft's quantization proposal, supersymmetric QM,.
Quantum Field Theory and
Particle Physics: Functional integral, particle oscillations and
mixing, defect mediated phase transitions, topological defects.
Education
Ph.D. in Theoretical
Physics, DAMTP University of Cambridge, UK
M.Sc. in Theoretical
Physics,
Mathematical Tripos, Part III, DAMTP University of Cambridge, UK
Ing (=
M.Sc.) in Condensed Matter Physics, FNSPECTU, Prague, CZ
Recent
Publications (selected)
M.Blasone, P.Jizba and
G.Vitiello
Quantum Field Theory and its Macroscopic Manifestations:
Boson condensation, ordered patterns and topological defects,
book (World Scientific & Imperial College
Press)
here
book review: Ignazio Licata (Contemporary Physics)
here
P.Jizba, H.Kleinert and F.Scardigli
Inflationary cosmology from
quantum Conformal Gravity,
Eur. Phys. J. C 75 (2015) 245
P.Jizba,
J.A.Dunningham and J.Joo
Role of information Theoretic Uncertainty Relations in
Quantum Theory,
Annals of Physics 355 (2015) 87
P.Jizba
and V.Zatloukal
Pathintegral approach to the WignerKirkwood expansion,
Phys. Rev. E89 (2014)
012135
P.Jizba
and F.Scardigli
Special relativity induced by granular
space,.Scardiglipecial
relativity induced by granular space,
Eur. Phys. J. C73
(2013) 2491
highlihts:
EPJC
Science portals
Europhysics News
Interview in INAF (in Italian)
P.Jizba and F.Scardigli
The emergence of Special and Doubly
Special Relativity,
Phys. Rev. D86 (2012)
025029
P.Jizba,
H.Kleinert and M.Shefaat
Renyi's information transfer between
financial time series,
Physica A 391
(2012) 2971
M.Blasone and P.Jizba
NambuGoldstone dynamics and generalized
coherentstate functional integrals,
J. Phys. A:
Math. Theor. 45 (2012) 244009
P.Jizba and H.Kleinert
Superstatistics approach to path integral for a relativistic
particle,
Phys. Rev. D82 (2010)
085016
P.Jizba, H.Kleinert and
F.Scardigli
Uncertainty Relation on World Crystal and its Applications
to Micro Black Holes,
Phys. Rev. D81
(2010) 084030
P.Jizba and J.M.Pons
Revisiting the gauge principle: enforcing constants of
motion as constraints,
J. Phys. A: Math. Theor. 43
(2010) 205202
P.Jizba, H.Kleinert and
P.Haener
Perturbation Expansion for Option Pricing with Stochastic
Volatility,
Physica A 388 (2009) 3503
P.Jizba and H.Kleinert
Superpositions of Probability Distributions,
Phys. Rev. E 78 (2008)
031122
P.Jizba and T.Arimitsu
Towards information theory for qnonextensive statistics
without qdeformed distributions,
Physica
A365 (2006) 76
M.Blasone, P.Jizba and
H.Kleinert
Quantum Behavior of Deterministic Systems with Information
Loss. Path Integral Approach,
Ann. Phys. 320 (2005) 468
M.Blasone, P.Jizba and
H.Kleinert
't Hooft's quantum determinism  path integral viewpoint,
Braz.
J. Phys. 37 (2005) 497
M.Blasone, P.Jizba and
H.Kleinert
Path Integral Approach to 't Hooft's Derivation of Quantum
from Classical Physics,
Phys.
Rev. A71 (2005) 0525071  052507
M.Blasone and P.Jizba
Bateman's dual system revisited: Quantization, geometric
phase and relation with the groundstate energy of the linear harmonic
oscillator,
Ann. Phys. 312 (2004) 354
P.Jizba and T.Arimitsu
Generalized statistics: yet another generalization,
Physica
A340 (2004) 110
P.Jizba and T.Arimitsu
On observability of Renyi's entropy,
Phys.Rev.
E69 (2004) 0261281
P.Jizba
Hydrostatic Pressure of the O(N) φ^{4}
Theory in the Large N Limit,
Phys.Rev.
D69 (2004) 0850111
P.Jizba and T.Arimitsu
The world according to Renyi: Thermodynamics of multifractal
systems,
Ann.
Phys. 312 (2004) 17
Professional Affiliations
Member of the American
Physical Society
Member of the ESF network
COSLAB (Cosmology in Laboratory)
Member of the Doppler
Institute, Prague
Courses
Taught
Heat
and molecular physics:
lecture
notes
(20142015)
requirements for exam (20142015)
last example sheet (20142015)
Method of path integrals
in quantum physics: The lecture covers the following topics;
Evolution kernel, Trotter product formula and configurationspace path
integral, elementary properties of path integrals and simple solutions
(e.g., free particle, harmonic oscillator, BohmAharonov effect),
semiclassical timeevolution amplitude (WKB approximation) and its
application to the anharmonic oscillator, variational perturbation
theory and its application to the double well potential, Green
functions and the FeynmanKac formula, phasespace path integrals,
coherent state representation and Klauder's path integral, Wick
rotation and Euclidean path integrals, simple applications in
statistical physics.
Applications of
functional integrals:
The lecture provides an introduction into
quantum field theory. The actual treatment is provided by means of
functional integrals. Central part of the lecture revolves around
particle physics. In this connection, the quantization of simple
systems (scalar fields, fermionic fields and gauge fields) is outlined
and the corresponding perturbation treatment of Green's function is
discussed via Feynman integrals. Essential part of the lecture consists
of the problem solving. Handouts are provided.
I. example sheet (20122013)
Supersymmetric quantum
mechanics:
The lecture covers the following topics;
General properties of Schrödinger equation in one dimension (bound
states, continuum states and scattering), Supersymmetric (SUSY)
harmonic oscillator, factorization and the hierarchy of Hamiltonians,
shape invariance and solvable potentials, charged particles in external
fields and SUSY, isospectral Hamiltonians, some perturbative methods
(SUSY WKB, SUSY delta expansion and variational approach).
Elements of Quantum
Mechanics:
The lecture covers the following topics;
State description, wave function, postulates of quantum mechanics,
Born's statistical interpretation, expectation values, Schrödinger
equation, Heisenberg uncertainty principle, quantization of angular
momentum, solution of simple systems, hydrogen atom.
I. example sheet (20112012);
II. example sheet (20052006) ;
III. example sheet (20052006);
I.example sheet (20122013); II. example sheet (20122013) ; III. example sheet (20122013);
IV. example
sheet (20122013);
extra example sheet
(20122013)
topics of essays
My Personal
Links
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p.jizba@fjfi.cvut.cz
