Open AccessProperties of geometric phase under Galilean transformation
Author(s) -
Zheng Ying-Hong,
Tong Chen,
Ping Wang,
Zhe Chang
Publication year - 2007
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.56.6199
Subject(s) - galilean transformation , galilean , galilean invariance , geometric phase , physics , invariant (physics) , transformation (genetics) , classical mechanics , geometric transformation , constraint (computer aided design) , phase (matter) , frame of reference , theoretical physics , quantum mechanics , geometry , computer science , mathematics , image (mathematics) , biochemistry , chemistry , gene , artificial intelligence
Properties of geometric phase under Galilean transformation are investigated within a general framework. We found that the geometric phase in the system commonly met with in the laboratory is Galilean invariant. However, this is not always true for general non-relativistic quantum systems. The physical origins of the frame dependence of geometric phase is discussed in detail. We emphasize that the change of geometric phase caused by Galilean boosts does not destroy the results of measurement for two-state interference. It is consistent with the general constraint of Galilean invariance on a non-relativistic quantum system.