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

被引：25

作者：

Aronstein, DL ^{[1
]}

Stroud, CR ^{[1
]}

机构：

[1] Univ Rochester, Inst Opt, Rochester, NY 14627 USA

来源：

PHYSICAL REVIEW A | 2000年 / 62卷 / 02期

关键词：

D O I：

10.1103/PhysRevA.62.022102

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

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 accurately. Revivals at the bottom of the well are explored as a "universal" limit of the general theory, which offers the clearest connection with the series of fractional and full revivals seen in the dynamics of the infinite square-well potential.

引用

页数：9

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