Study of Regular and Irregular States in Generic Systems
Author(s) -
Gregor Veble,
Marko Robnik,
Junxian Liu
Publication year - 2000
Publication title -
progress of theoretical physics supplement
Language(s) - English
Resource type - Journals
ISSN - 0375-9687
DOI - 10.1143/ptps.139.421
Subject(s) - semiclassical physics , eigenvalues and eigenvectors , wave function , quantum mechanics , hamiltonian (control theory) , quantization (signal processing) , brillouin zone , chaotic , physics , autocorrelation , mathematical physics , classical mechanics , mathematics , theoretical physics , quantum , computer science , algorithm , mathematical optimization , statistics , artificial intelligence
In this work we semiclassically analyzed the high lying eigenstates of amixed type Hamiltonian system. For the regular states we employ theEinstein-Brillouin-Keller quantization, while for the chaotic states, followingthe principle of uniform semiclassical condensation, we obtain a prediction fortheir wavefunction autocorrelation function.Comment: 7 pages, 3 figures (as .GIF files), PTP LaTeX style, to be published in the proceedings of the conference/summer school 'Let's Face Chaos through Nonlinear Dynamics', Maribor, Slovenia, June/July 1999, eds. M. Robnik et al., Prog. Theor. Phys. Suppl. (Kyoto) 139 (2000
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