On determination of statistical properties of spectra from parametric level dynamics
| Autor: | Marek Kus, Piotr Kosinski, Miroslaw Hardej, Cezary Gonera |
|---|---|
| Rok vydání: | 2006 |
| Předmět: |
Statistics and Probability
Dirac (software) Invariant manifold Chaotic FOS: Physical sciences General Physics and Astronomy Statistical and Nonlinear Physics Nonlinear Sciences - Chaotic Dynamics Manifold Hamiltonian system Modeling and Simulation Gauge theory Statistical physics Chaotic Dynamics (nlin.CD) Quantum Mathematical Physics Mathematics Parametric statistics |
| Zdroj: | Journal of Physics A: Mathematical and Theoretical. 40:423-431 |
| ISSN: | 1751-8121 1751-8113 |
| DOI: | 10.1088/1751-8113/40/3/006 |
| Popis: | We analyze an approach aiming at determining statistical properties of spectra of time-periodic quantum chaotic system based on the parameter dynamics of their quasienergies. In particular we show that application of the methods of statistical physics, proposed previously in the literature, taking into account appropriate integrals of motion of the parametric dynamics is fully justified, even if the used integrals of motion do not determine the invariant manifold in a unique way. The indetermination of the manifold is removed by applying Dirac's theory of constrained Hamiltonian systems and imposing appropriate primary, first-class constraints and a gauge transformation generated by them in the standard way. The obtained results close the gap in the whole reasoning aiming at understanding statistical properties of spectra in terms of parametric dynamics. 9 pages without figures |
| Databáze: | OpenAIRE |
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