GAUGE INDEPENDENCE OF LEWIS-RIESENFELD PHASES

Authors
WEI LF LIANG JQ LI BZ
Citation
Lf. Wei et al., GAUGE INDEPENDENCE OF LEWIS-RIESENFELD PHASES, Nuovo cimento della Societa italiana di fisica. B, Relativity, classical and statistical physics, 110(11), 1995, pp. 1357-1361
Citations number
10
Categorie Soggetti
Physics
Journal title
Nuovo cimento della Societa italiana di fisica. B, Relativity, classical and statistical physics → ACNP
ISSN journal
11241888
Volume
110
Issue
11
Year of publication
1995
Pages
1357 - 1361
Database
ISI
SICI code
1124-1888(1995)110:11<1357:GIOLP>2.0.ZU;2-Q
Abstract
For a time-dependent quantum system, the instantaneous stationary Schr odinger equation is not covariant under gauge transformation. Therefor e, the formal definition of the Berry phase may depend on the choice o f mutually gauge-equivalent Hamiltonians. It is shown that the Lewis-R iesenfeld phase is manifestly gauge independent. The generalized time- dependent harmonic oscillator is used as an example to demonstrate thi s result.