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arXiv:quant-ph/0408050 · Foundations of Physics Letters

Analytic Results for Gaussian Wave Packets in Four Model Systems: II. Autocorrelation Functions

R. W. Robinett, L. C. Bassett

Published Dec 1, 2004• 7 citations
arXivHTMLPDF
DOI
10.1007/s10702-004-1119-7

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The use of wave packet to analyze the dynamics of quantum mechanical systems is an increasingly important method to the study of the classical-quantum correspondence.Using the quantum Gaussian wave packet analysis method,we calculate the autocorrelation function of the rectangular billiard,the peak positions of the autocorrelation function match well with the periods of the classical periodic orbits,which show that the period of the classical orbits can be produced by the time-dependent quantum wave packet method.We also discuss wave packet revivals and fractional revivals in the rectangular billiard,the results show that there are exact revival for all wave packet at each revival time.We find additional cases of exact revivals with short revival times for zero-momentum wave packets initially located at special symmetry point inside the billiard.