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Correlations and fluctuations in static and dynamic mean-field approaches

Technical Report:

Abstract

Let the state of a many-body system at an initial time be specified, completely or partly; find the expectation values, correlations and fluctuations of single-particle observables at a later time. The characteristic function of these observables is optimized within a general variational scheme. The expansion of the optimal characteristic function provides the same results as the conventional mean-field approaches for the thermodynamic potentials and the expectation values: for fermions the best initial state is then the Hartree-Fock (HF) solution and the evolution is described by the time-dependent Hartree-Fock (TDHF) equation. Two special cases are investigated as preliminary steps. The first case deals with the evaluation of correlations for static problems, where the initial and final times coincide. In the second special case, the exact initial state is assumed to be an independent-particle one. (K.A.) 23 refs.; 1 fig.
Authors:
Balian, R; [1]  Veneroni, M
  1. CEA Centre d`Etudes Nucleaires de Saclay, 91 - Gif-sur-Yvette (France). Service de Physique Theorique
Publication Date:
Dec 31, 1991
Product Type:
Technical Report
Report Number:
IPNO-TH-91-84
Reference Number:
SCA: 661300; PA: AIX-25:003945; EDB-94:015579; ERA-19:005547; NTS-94:014771; SN: 93001121002
Resource Relation:
Other Information: DN: Submitted to Annals of Physics (New York).; PBD: 1991
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; MEAN-FIELD THEORY; CORRELATION FUNCTIONS; FLUCTUATIONS; CORRELATIONS; EXPECTATION VALUE; HARTREE-FOCK METHOD; MANY-BODY PROBLEM; VARIATIONAL METHODS; 661300; OTHER ASPECTS OF PHYSICAL SCIENCE
OSTI ID:
10109807
Research Organizations:
Paris-11 Univ., 91 - Orsay (France). Inst. de Physique Nucleaire
Country of Origin:
France
Language:
English
Other Identifying Numbers:
Other: ON: DE94609596; TRN: FR9303087003945
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
FRN
Size:
80 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Balian, R, and Veneroni, M. Correlations and fluctuations in static and dynamic mean-field approaches. France: N. p., 1991. Web.
Balian, R, & Veneroni, M. Correlations and fluctuations in static and dynamic mean-field approaches. France.
Balian, R, and Veneroni, M. 1991. "Correlations and fluctuations in static and dynamic mean-field approaches." France.
@misc{etde_10109807,
title = {Correlations and fluctuations in static and dynamic mean-field approaches}
author = {Balian, R, and Veneroni, M}
abstractNote = {Let the state of a many-body system at an initial time be specified, completely or partly; find the expectation values, correlations and fluctuations of single-particle observables at a later time. The characteristic function of these observables is optimized within a general variational scheme. The expansion of the optimal characteristic function provides the same results as the conventional mean-field approaches for the thermodynamic potentials and the expectation values: for fermions the best initial state is then the Hartree-Fock (HF) solution and the evolution is described by the time-dependent Hartree-Fock (TDHF) equation. Two special cases are investigated as preliminary steps. The first case deals with the evaluation of correlations for static problems, where the initial and final times coincide. In the second special case, the exact initial state is assumed to be an independent-particle one. (K.A.) 23 refs.; 1 fig.}
place = {France}
year = {1991}
month = {Dec}
}