The Semiclassical Regime of the Chaotic Quantum-Classical Transition

Details The Semiclassical Regime of the Chaotic Quantum-Classical Transition The Semiclassical Regime of the Chaotic Quantum-Classical Transition

2004-01-28

arxiv.org/abs/quant-ph/0401174v4

Physics

Quantum Physics

4 pages, 2 figures, submitted to CHAOS; revised version

Scientific paper

10.1063/1.1979227

An analysis of the semiclassical regime of the quantum-classical transition is given for open, bounded, one dimensional chaotic dynamical systems. Environmental fluctuations -- characteristic of all realistic dynamical systems -- suppress the development of fine structure in classical phase space and damp nonlocal contributions to the semiclassical Wigner function which would otherwise invalidate the approximation. This dual regularization of the singular nature of the semiclassical limit is demonstrated by a numerical investigation of the chaotic Duffing oscillator.

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