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) FNSPE-CTU Brehova 7 115 19 Praha 1 Czech Republic
Phone	++ (420) 224-358-295
Fax	++ (420) 222-320-861
E-Mail	p.jizba@fjfi.cvut.cz

He who knows does not speak.

 He who speaks does not know. 

Lao-tzu

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, non-equilibrium 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

Mathematical Tripos, Part III, DAMTP University of Cambridge, UK

Ing (= MSc.) in Condensed Matter Physics, FNSPE-CTU, Prague, CZ

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),  
For more details look here

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,
Journal of Physics A: Mathematical and Theoretical 43 (2010) 205202

P.Jizba, H.Kleinert and P.Haener
Perturbation Expansion for Option Pricing with Stochastic Volatility,
Physica A 388 (2009) 3503-3520

P.Jizba and H.Kleinert
Superpositions of Probability Distributions,
Phys. Rev. E 78 (2008) 031122

P.Jizba and T.Arimitsu
Towards information theory for q-nonextensive statistics without q-deformed distributions,
Physica A365 (2006) 76 - 84

M.Blasone, P.Jizba and H.Kleinert
Quantum Behavior of Deterministic Systems with Information Loss. Path Integral Approach,
Ann. Phys. 320 (2005) 468 - 486

M.Blasone, P.Jizba and H.Kleinert
't Hooft's quantum determinism - path integral viewpoint,
Braz. J. Phys. 37 (2005) 497 - 502

M.Blasone, P.Jizba and H.Kleinert
Path Integral Approach to 't Hooft's Derivation of Quantum from Classical Physics,
Phys. Rev. A71 (2005) 052507-1 - 052507-19

M.Blasone and P.Jizba
Bateman's dual system revisited: Quantization, geometric phase and relation with the ground-state energy of the linear harmonic oscillator,
Ann. Phys. 312 (2004) 354 - 397

P.Jizba and T.Arimitsu
Generalized statistics: yet another generalization,
Physica A340 (2004) 110 - 116

P.Jizba and T.Arimitsu
On observability of Renyi's entropy,
Phys.Rev. E69 (2004) 026128-1 - 026128-12

P.Jizba,
Hydrostatic Pressure of the O(N) φ⁴ Theory in the Large N Limit,
Phys.Rev. D69 (2004) 085011-1 - 085011-21

P.Jizba and T.Arimitsu
The world according to Renyi: Thermodynamics of multifractal systems,
Ann. Phys. 312 (2004) 17 - 59

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 (2011-2012)
requirements for exam (2011-2012)
last example sheet (2010-2011)

Method of path integrals in quantum physics: The lecture covers the following topics; Evolution kernel, Trotter product formula and configuration-space path integral, elementary properties of path integrals and simple solutions (e.g., free particle, harmonic oscillator, Bohm-Aharonov effect), semiclassical time-evolution 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 Feynman-Kac formula, phase-space 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. examples sheet (2010-2011) 

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. examples sheet (2011-2012)
II. examples sheet (2005-2006)
III. examples sheet (2005-2006)
topics of essays