The perfect revival time of localized wave packet consisting of superposition of bound states with an arbitrary energy spectrum
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- 作者：Mikhail L. Strekalov
- 关键词：Wave packets ; Revivals ; Fractional revivals ; Perfect revival time ; Long ; term evolution ; Pöschl–Teller oscillator
- 刊名：Journal of Mathematical Chemistry
- 出版年：2017
- 出版时间：February 2017
- 年：2017
- 卷：55
- 期：2
- 页码：407-412
- 全文大小：
- 刊物类别：Chemistry and Materials Science
- 刊物主题：Physical Chemistry; Theoretical and Computational Chemistry; Math. Applications in Chemistry;
- 出版者：Springer International Publishing
- ISSN：1572-8897
- 卷排序：55
文摘
A study is made of the long-term evolution of the wave packet, which is initially well localized in a one-dimensional confined potential. The wave packet consists of a linear superposition of bound states with an arbitrary energy spectrum. An exact analytical expression is derived, which predicts all revival times in any time scale. The perfect revival time is also calculated. The Pöschl–Teller oscillator has been considered as a simple example.