Open AccessCONNECTION BETWEEN BERRY PHASE AND AB PHASE
Author(s) -
Lei Yue,
Zeng Jin-Yan
Publication year - 1997
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.46.20
Subject(s) - geometric phase , adiabatic process , berry , berry connection and curvature , phase (matter) , argument (complex analysis) , connection (principal bundle) , wave packet , physics , adiabatic theorem , statement (logic) , quantum mechanics , quantum , mathematical physics , mathematics , law , geometry , biochemistry , chemistry , botany , political science , biology
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.