文章基本信息

标题：The phase-space approach to time evolution of quantum states in confined systems: The spectral split-operator method
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作者：Damian Kołaczek ; Bartłomiej J. Spisak ; Maciej Wołoszyn 等
期刊名称：International Journal of Applied Mathematics and Computer Science
电子版ISSN：2083-8492
出版年度：2019
卷号：29
期号：3
页码：1-13
DOI：10.2478/amcs-2019-0032
出版社：De Gruyter Open
摘要：Using the phase space approach, we consider the quantum dynamics of a wave packet in an isolated confined system with three different potential energy profiles. We solve the Moyal equation of motion for the Wigner function with the highly efficient spectral split-operator method. The main aim of this study is to compare the accuracy of the employed algorithm through analysis of the total energy expectation value, in terms of deviation from its exact value. This comparison is performed for the second and fourth order factorizations of the time evolution operator.
关键词：Wigner distribution function; Moyal dynamics; spectral split;operator method;