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, Copyright policy)
  • Publisher: American Physical Society (APS)
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...
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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