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Progress of Theoretical Physics Supplement

Path Integral Approach to Many-Body Systems and Classical Quantization of Time-Dependent Mean Field

Hiroshi Kuratsuji, T. Suzuki

Published Jan 1, 1983• 22 citations
Publisher

Abstract

We present the path integral formalism of many-body systems based on the representation of generalized coherent states. We give the integral representation for the transition amplitude by utilizing the characteristic property of the coherent states and discuss its classical limit through the method of stationary phase. Applying to the bound state problem, we arrive at the classical quantization rule for the periodic mean field solutions, the utility of which is briefly discussed.

DOI
10.1143/ptps.74.209

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We present the path integral formalism of many-body systems based on the representation of generalized coherent states. We give the integral representation for the transition amplitude by utilizing the characteristic property of the coherent states and discuss its classical limit through the method of stationary phase. Applying to the bound state problem, we arrive at the classical quantization rule for the periodic mean field solutions, the utility of which is briefly discussed.
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