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Structure of wave functions on the torus characterized by a topological Chern index

Conference:

Abstract

The quantum eigenstates and eigenvalues on a toroidal two dimensional phase-space are studied. To each eigenfunction is associated an integer, the Chern index, which tests the localization of the eigenfunction as some periodicity conditions are changed. The Chern index is a topological invariant which can only change when a spectral degeneracy occurs. These topological numbers are computed for three different models: two having an underlying regular dynamics, the third-one having a chaotic dynamics. The role played by the separatrix-states, the effects of quantum tunneling (symmetry effects) and of a classically chaotic dynamics in the spectrum of the Chern indices are discussed. The values taken by those indices are interpreted in terms of a phase-space distribution function. (author) 13 refs.; 12 figs.
Authors:
Faure, F; [1]  Leboeuf, P
  1. Grenoble-1 Univ., 38 (France). Inst. des Sciences Nucleaires
Publication Date:
Oct 01, 1992
Product Type:
Conference
Report Number:
IPNO-TH-92-93; CONF-9207228-
Reference Number:
SCA: 661100; PA: AIX-25:003899; EDB-94:015536; ERA-19:005492; NTS-94:014811; SN: 93001120975
Resource Relation:
Conference: From classical to quantum chaos workshop,Trieste (Italy),21-24 Jul 1992; Other Information: PBD: Oct 1992
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; WAVE FUNCTIONS; TOPOLOGY; TOROIDAL CONFIGURATION; MEETINGS; EIGENSTATES; EIGENVALUES; PHASE SPACE; QUANTUM MECHANICS; LEADING ABSTRACT; 661100; CLASSICAL AND QUANTUM MECHANICS
OSTI ID:
10111434
Research Organizations:
Paris-11 Univ., 91 - Orsay (France). Inst. de Physique Nucleaire
Country of Origin:
France
Language:
English
Other Identifying Numbers:
Other: ON: DE94609572; TRN: FR9303110003899
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
FRN
Size:
25 p.
Announcement Date:
Jun 30, 2005

Conference:

Citation Formats

Faure, F, and Leboeuf, P. Structure of wave functions on the torus characterized by a topological Chern index. France: N. p., 1992. Web.
Faure, F, & Leboeuf, P. Structure of wave functions on the torus characterized by a topological Chern index. France.
Faure, F, and Leboeuf, P. 1992. "Structure of wave functions on the torus characterized by a topological Chern index." France.
@misc{etde_10111434,
title = {Structure of wave functions on the torus characterized by a topological Chern index}
author = {Faure, F, and Leboeuf, P}
abstractNote = {The quantum eigenstates and eigenvalues on a toroidal two dimensional phase-space are studied. To each eigenfunction is associated an integer, the Chern index, which tests the localization of the eigenfunction as some periodicity conditions are changed. The Chern index is a topological invariant which can only change when a spectral degeneracy occurs. These topological numbers are computed for three different models: two having an underlying regular dynamics, the third-one having a chaotic dynamics. The role played by the separatrix-states, the effects of quantum tunneling (symmetry effects) and of a classically chaotic dynamics in the spectrum of the Chern indices are discussed. The values taken by those indices are interpreted in terms of a phase-space distribution function. (author) 13 refs.; 12 figs.}
place = {France}
year = {1992}
month = {Oct}
}