Quantum Chaos at Finite Temperature - a New Approach via the Quantum Action

Details Quantum Chaos at Finite Temperature - a New Approach via the Quantum Action Quantum Chaos at Finite Temperature - a New Approach via the Quantum Action

2001-06-28

arxiv.org/abs/quant-ph/0106159v1

on-line proceedings of 7. ICSSUR, Boston (2001)

Physics

Quantum Physics

talk given by H. Kr\"{o}ger at ICSSUR, Boston. Text (LaTeX), 5 Figs. (ps)

Scientific paper

We address the problem of quantum chaos: Is there a rigorous, physically meaningful definition of chaos in quantum physics? Can the tools of classical chaos theory, like Lyapunov exponents, Poincar\'e sections etc. be carried over to quantum systems? Can quantitative predictions be made? We show that the recently proposed quantum action is well suited to answer those questions. As an example we study chaotic behavior of the 2-D anharmonic oscillator and compare classical with quantum chaos. Moreover, we study quantum chaos as function of temperature (the classical system can be considered as the limit where temperature goes to infinity).

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