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FIZIKA B 11 (2002) 4, 191-200
 
A NOTE ON GAUGE INVARIANCE IN PERTURBATION THEORY
ANDREA RASPINI
Department of Physics, SUNY at Fredonia, Fredonia, NY14063, USA
E-mail address: Andrea.Raspini@Fredonia.edu
Received 29 November 2002; revised manuscript received 25 January 2003
Accepted 27 January 2003 Online 7 February 2003
This paper discusses gauge invariance issues in semiclassical perturbation theory,
outlining a nonrelativistic single-particle treatment which guarantees perturbative gauge
invariance in a relative sense (that is, in relationship to a chosen ``reference'' gauge
of the electromagnetic four-potential). The selection of the reference gauge depends on
the intended physical meanings of the calculated quantities, but it appears that the
transverse gauge is the most appropriate choice. Generalizations to multiparticle systems
and relativistic particles are possible.
PACS numbers: 11.15.Kc
UDC 539.126
Keywords: perturbative gauge invariance, semiclassical perturbation theory,
nonrelativistic single-particle treatment
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