publication . Preprint . 2000

Regular and Irregular States in Generic Systems

Veble, Gregor; Robnik, Marko; Liu, Junxian;
Open Access English
  • Published: 29 Mar 2000
Abstract
In this work we present the results of a numerical and semiclassical analysis of high lying states in a Hamiltonian system, whose classical mechanics is of a generic, mixed type, where the energy surface is split into regions of regular and chaotic motion. As predicted by the principle of uniform semiclassical condensation (PUSC), when the effective $\hbar$ tends to 0, each state can be classified as regular or irregular. We were able to semiclassically reproduce individual regular states by the EBK torus quantization, for which we devise a new approach, while for the irregular ones we found the semiclassical prediction of their autocorrelation function, in a go...
Subjects
arXiv: Nonlinear Sciences::Chaotic Dynamics
free text keywords: Nonlinear Sciences - Chaotic Dynamics
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Berry M V 1977, J. Phys. A: Math. Gen. 10 2083

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