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Progress of Theoretical Physics

Description of Mixed States Based on the Time-Dependent Hartree-Fock Theory. I

A. Kuriyama, João da Providência, Masatoshi Yamamura

Published Sep 1, 1990• 0 citations
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Abstract

Formalism of thermo field dynamics in classical mechanics with constraints, which is a natural consequence of the time-dependent Hartree-Fock theory for mixed states, is reformulated under the introduction of a gauge fixing condition. With the aid of this condition, the formulation is performed in the frame of Dirac's canonical theory with constraints. Any physical quantity can be expressed in terms of constraint-independent canonical variables.

DOI
10.1143/ptp.84.452

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Description of Mixed States Based on the Time-Dependent Hartree-Fock Theory. I: Formalism of Thermo Field Dynamics in Canonical Theory with Constraints

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Formalism of thermo field dynamics in classical mechanics with constraints, which is a natural consequence of the time-dependent Hartree-Fock theory for mixed states, is reformulated under the introduction of a gauge fixing condition. With the aid of this condition, the formulation is performed in the frame of Dirac's canonical theory with constraints. Any physical quantity can be expressed in terms of constraint-independent canonical variables.

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Progress of Theoretical Physics•Jan 1, 1992•0 citations
Formalism of thermo field dynamics in classical mechanics with constraints, which is a natural consequence of the time-dependent Hartree-Fock theory for mixed states, is reformulated under the introduction of a gauge fixing condition. With the aid of this condition, the formulation is performed in the frame of Dirac's canonical theory with constraints. Any physical quantity can be expressed in terms of constraint-independent canonical variables.
A microscopic theory of collective and independent-particle motions in many-fermion system is developed in the framework of Dirac's canonical theory with constraints.The basic idea is an extension of the conventional time-dependent Hartree-Fock theory based on the use of the Grassmann variables and, in certain sense, it supplements incomplete parts of the paper presented by the present authors.Canonicity condition to certify the canonical property of the variables, equation to determine collective submanifold and constraints to govern the collective and the Grassmann variables are given.