publication . Article . 2000

Analytical investigation of revival phenomena in the finite square-well potential

David L. Aronstein; Carlos R. Stroud;

Open Access

Published: 06 Jul 2000 Journal: Physical Review A, volume 62 (issn: 1050-2947, eissn: 1094-1622,

Publisher: American Physical Society (APS)

Summary

Abstract

We present an analytical investigation of revival phenomena in the finite square-well potential. The classical motion, revival, and super-revival time scales are derived exactly for wave packets excited in the finite well. These time scales exhibit a richer dependence on wave-packet energy and on potential-well depth than has been found in other quantum systems: They explain, for example, the difficulties in exciting wave packets with strong classical features at the bottom of a finite well, or with clearly resolved super-revivals in a shallow well. In the proper regions of validity, the time scales predict the instances of wave-packet reformation extremely accu...

doi: 10.1103/physreva.62.022102

Subjects

arXiv: Condensed Matter::Quantum Gases

free text keywords: Classical mechanics, Quantum, Physics, General theory, Finite potential well, Wave packet, Excited state

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