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 Problems of Atomic Science and Technology, 2012, Issue 1, Pages 248–252 (Mi vant2)

Gibbs equilibrium averages and Bogolyubov measure

D. P. Sankovich

V. A. Steklov Mathematical Institute, Moscow, Russia

Abstract: Application of the functional integration methods in equilibrium statistical mechanics of quantum Bose-systems is considered. We show that Gibbs equilibrium averages of Bose-operators can be represented as path integrals over a special Gauss measure defined in the corresponding space of continuous functions. We consider some problems related to integration with respect to this measure.

Bibliographic databases:
PACS: 02.30.Cj, 02.50.Ey, 05.30.Jp