SEMICLASSICAL QUANTIZATION OF NONSEPARABLE SYSTEMS WITHOUT PERIODIC-ORBITS

Authors
WEIPER FJ ANKERHOLD J GRABERT H POLLAK E
Citation
Fj. Weiper et al., SEMICLASSICAL QUANTIZATION OF NONSEPARABLE SYSTEMS WITHOUT PERIODIC-ORBITS, Physical review letters, 77(13), 1996, pp. 2662-2665
Citations number
25
Categorie Soggetti
Physics
Journal title
Physical review letters → ACNP
ISSN journal
00319007
Volume
77
Issue
13
Year of publication
1996
Pages
2662 - 2665
Database
ISI
SICI code
0031-9007(1996)77:13<2662:SQONSW>2.0.ZU;2-J
Abstract
We present a new method for the semiclassical quantization of classica lly integrable as well as nonintegrable systems. The method is based o n the semiclassical approximation of the equilibrium density matrix, u sing classical trajectories on the upside down potential surface. Peri odic orbits do not play any special role. Explicit results are given f or the case of the classically chaotic potential kx(2)y(2)/2.