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Phys. Rev. A 60, 4313–4317 (1999)

Geometric phase in relativistic quantum theory

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Zheng-Chuan Wang and Bo-Zang Li
Institute of Physics and Center for Condensed Matter Physics, Chinese Academy of Sciences, P.O. Box 603-99, Beijing 100080, China

Received 4 March 1999; revised 19 July 1999; published in the issue dated December 1999

The geometric phase in Dirac relativistic quantum theory is obtained in this paper. It is slightly different from Berry’s nonrelativistic result, and satisfies the invariance of the general Lorenz transformation in the relativistic quantum theory. This relativistic geometric phase can reduce to Berry’s expression when we adopt the nonrelativistic approximation.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.60.4313
DOI:
10.1103/PhysRevA.60.4313
PACS:
03.65.Bz, 03.65.Pm