
From quantum spectra to classical orbits: the rectangular billiards
Author(s) -
Lu Jun,
Ming Du
Publication year - 2004
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.53.2450
Subject(s) - spectral line , quantum , periodic orbits , physics , dynamical billiards , classical mechanics , quantum mechanics
A new quantum spectrum function is defined using the eigenvalues and eigenfunctions of the system considered. We study the two-dimensional rectangular billiard,and find that the Fourier transform of the spectrum function reveals the classical orbits from one point to another.