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Bery相与AB相的关系
引用本文:雷奕安,曾谨言. Bery相与AB相的关系[J]. 物理学报, 1997, 46(1): 20-21
作者姓名:雷奕安  曾谨言
作者单位:中国科学院理论物理研究所;北京大学物理系
基金项目:国家自然科学基金及国家博士后科研基金资助的课题.
摘    要:Berry曾经论证,Aharonov-Bohm相可以看成是Bery相.在论证中放弃了绝热近似,也未涉及量子态的非定态性.重新探讨了此论证,表明Bery的结论是正确的,但在该论证过程中需要作绝热近似.AB效应中运动电子是用一个运动波包(非定态)来描述的,AB相的出现,是要求波包的演化必须满足Schr?dinger方程的结果,但AB相的出现不受绝热条件的限制关键词

收稿时间:1995-12-13

CONNECTION BETWEEN BERRY PHASE AND AB PHASE
LEI YI-AN and ZENG JIN-YAN. CONNECTION BETWEEN BERRY PHASE AND AB PHASE[J]. Acta Physica Sinica, 1997, 46(1): 20-21
Authors:LEI YI-AN and ZENG JIN-YAN
Abstract:Berry pointed out that the Aharonov-Bohm phase could be considered as a Berry phase.In his argument,he gave up the adiabatic approximation,and the nonstationarity of quantum states was not concerned.In this paper we re-investigate Berry’s proof,and find that his final statement is correct,and in his argument,the adiabatic approximation should be used.In the AB effect,a moving electron is described as a moving wave packet (nonstationary),and the appearance of AB phase originates from the requirement that the evolution of the wave packet must satisfy the Schrdinger equation.
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