Gauge-invariant quantum kinetic equations for electrons in classical electromagnetic fields

M. Levanda, V. Fleurov

Research output: Contribution to journalArticlepeer-review

Abstract

Gauge-invariant quantum kinetic equations for interacting electrons are deduced using the Keldysh diagrammatic technique. The Dyson equations are transformed using a special type of the Wigner representation that produces gauge-invariant Green functions. As a result, they depend on the variables having a meaning of position and kinetic momentum. The Wigner representation used makes it necessary to modify the diagrammatic technique in such a way that it will be able to account for the momentum-energy exchange between the system and the electromagnetic field. The formalism obtained makes it possible to carry out many-particle calculations for non-linear systems in arbitrary electromagnetic fields. Some particular simple cases are considered. A special discussion is given regarding the meaning of the detailed balance in such a formulation.

Original languageEnglish
Article number010
Pages (from-to)7889-7908
Number of pages20
JournalJournal of Physics Condensed Matter
Volume6
Issue number39
DOIs
StatePublished - 1994

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