%AFaure, F [Grenoble-1 Univ., 38 (France). Inst. des Sciences Nucleaires]
%ALeboeuf, P
%D1992
%I; Paris-11 Univ., 91 - Orsay (France). Inst. de Physique Nucleaire
%J
%K71 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
%PMedium: X; Size: 25 p.
%TStructure of wave functions on the torus characterized by a topological Chern index
%XThe 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.
%0Conference
France Other: ON: DE94609572; TRN: FR9303110003899 FRN English