Symplectic structure of the collective manifold

Journal Article · Fri Dec 01 04:00:00 EST 1989 · Physical Review (Section) C: Nuclear Physics; (USA)

DOI:https://doi.org/10.1103/PhysRevC.40.2840· OSTI ID:7273198

Bulgac, A ^[1]

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1. National Superconducting Cyclotron Laboratory and Department of Physics Astronomy, Michigan State University, East Lansing, Michigan 48824 (US)

We consider the symplectic structure of the collective manifold as it emerges in a path integral approach. We make use of the Hubbard-Stratonovich transformation in order to integrate out the fermionic degrees of freedom. The effective action obtained in this way is expressed in terms of the single-particle components of the one-body density or potential, which play the role of phase space variables. We show that the term usually designed as the quantum nonintegrable phase is the only term responsible for the definition of the symplectic structure on this manifold. Without this term the Poisson bracket on the collective manifold is undefined.

• OSTI ID: 7273198
• Journal Information: Physical Review (Section) C: Nuclear Physics; (USA), Journal Name: Physical Review (Section) C: Nuclear Physics; (USA) Vol. 40:6; ISSN 0556-2813; ISSN PRVCA
• Country of Publication: United States
• Language: English

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ADIABATIC APPROXIMATION
COLLECTIVE MODEL
FERMIONS
FUNCTIONS
HARTREE-FOCK METHOD
HARTREE-FOCK-BOGOLYUBOV THEORY
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MATHEMATICAL MODELS
MATHEMATICAL SPACE
MATHEMATICS
NUCLEAR MODELS
OSCILLATION MODES
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SINGLE-PARTICLE MODES
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