Functional Integrals for Many-Boson Systems
- 1 August 1968
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 9 (8) , 1312-1318
- https://doi.org/10.1063/1.1664716
Abstract
We express the grand canonical partition function (GCPF) for a system of interacting bosons as a functional integral over one complex function. Our derivation is based on the so-called coherent-state representation [R. J. Glauber, Phys. Rev. 136, 2766 (1963)]. We show how to extract the perturbative expansion of the GCPF and the various Green's functions from our functional-integral representation and we indicate the relevance of our formalism to the theory of superfluidity.Keywords
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