Quantum wave-packet revivals in circular billiards

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

The long-term time dependence of Gaussian wave packets in a circular infinite well (billiard) system was investigated. Approximate revivals were found in the experiment. The focus was on long-term, revival structure of the autocorrelation function. The dependence of the revival structure on the initial position, energy and angular momentum of the wave packet was also elaborated. The way of initiation of classical periodicity for closed orbits in a circular billiard from the energy eigenvalue spectrum was also discussed.

Original languageEnglish (US)
Article number062103
Pages (from-to)621031-6210310
Number of pages5589280
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume65
Issue number6 A
StatePublished - Jan 1 2002

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wave packets
autocorrelation
time dependence
periodic variations
eigenvalues
angular momentum
kinetic energy
orbits
momentum
energy

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

Cite this

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abstract = "The long-term time dependence of Gaussian wave packets in a circular infinite well (billiard) system was investigated. Approximate revivals were found in the experiment. The focus was on long-term, revival structure of the autocorrelation function. The dependence of the revival structure on the initial position, energy and angular momentum of the wave packet was also elaborated. The way of initiation of classical periodicity for closed orbits in a circular billiard from the energy eigenvalue spectrum was also discussed.",
author = "Robinett, {Richard Wallace} and Steven Heppelmann",
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Quantum wave-packet revivals in circular billiards. / Robinett, Richard Wallace; Heppelmann, Steven.

In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 65, No. 6 A, 062103, 01.01.2002, p. 621031-6210310.

Research output: Contribution to journalArticle

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