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A Gibbs potential expansion with a quantic system made up of a large number of particles; Un developpement du potentiel de Gibbs d'un systeme compose d'un grand nombre de particules

Technical Report:

Abstract

Starting from an expansion derived in a previous work, we study the contribution to the Gibbs potential of the two-body dynamical correlations, taking into account the statistical correlations. Such a contribution is of interest for low density systems at low temperature. In the zero density limit, it reduces to the Beth Uhlenbeck expression of the second virial coefficient. For a system of fermions in the zero temperature limit, it yields the contribution of the Brueckner reaction matrix to the ground state energy, plus, under certain conditions, additional terms of the form exp. (β |Δ|), where the Δ are the binding energies of 'bound states' of the type first discussed by L. Cooper. Finally, we study the wave function of two particles immersed in a medium (defined by its temperature and chemical potential). lt satisfies an equation generalizing the Bethe Goldstone equation for an arbitrary temperature. Reprint of a paper published in 'Nuclear Physics' 10, 1959, p. 181-196 [French] Partant d'un developpement extrait d'un precedent travail, nous etudions la contribution au potentiel de Gibbs des relations dynamiques du systeme de deux corps, en tenant compte des relations statistiques. Une telle contribution presente de l'interet pour les systemes a densite faible et  More>>
Authors:
Bloch, Claude; Dominicis, Cyrano de [1] 
  1. Commissariat a l'energie atomique et aux energies alternatives - CEA, Centre d'Etudes Nucleaires de Saclay, Gif-sur-Yvette (France)
Publication Date:
Jul 01, 1959
Product Type:
Technical Report
Report Number:
CEA-R-1153
Resource Relation:
Other Information: 8 refs.
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BETHE-GOLDSTONE EQUATION; BOUND STATE; BRUECKNER MODEL; COMMUTATION RELATIONS; FERMIONS; FEYNMAN DIAGRAM; FREE ENTHALPY; HAMILTONIANS; HARTREE-FOCK METHOD; PARTITION FUNCTIONS; PROPAGATOR; TWO-BODY PROBLEM; VIRIAL EQUATION; WAVE FUNCTIONS; WICK THEOREM
OSTI ID:
22669616
Research Organizations:
Commissariat a l'energie atomique et aux energies alternatives - CEA, Centre d'Etudes Nucleaires de Saclay, Service de Documentation, BP No.2, 91190 Gif-sur-Yvette (France)
Country of Origin:
France
Language:
French
Other Identifying Numbers:
TRN: FR1800517015501
Availability:
Available from INIS in electronic form
Submitting Site:
INIS
Size:
18 page(s)
Announcement Date:
Mar 13, 2018

Technical Report:

Citation Formats

Bloch, Claude, and Dominicis, Cyrano de. A Gibbs potential expansion with a quantic system made up of a large number of particles; Un developpement du potentiel de Gibbs d'un systeme compose d'un grand nombre de particules. France: N. p., 1959. Web.
Bloch, Claude, & Dominicis, Cyrano de. A Gibbs potential expansion with a quantic system made up of a large number of particles; Un developpement du potentiel de Gibbs d'un systeme compose d'un grand nombre de particules. France.
Bloch, Claude, and Dominicis, Cyrano de. 1959. "A Gibbs potential expansion with a quantic system made up of a large number of particles; Un developpement du potentiel de Gibbs d'un systeme compose d'un grand nombre de particules." France.
@misc{etde_22669616,
title = {A Gibbs potential expansion with a quantic system made up of a large number of particles; Un developpement du potentiel de Gibbs d'un systeme compose d'un grand nombre de particules}
author = {Bloch, Claude, and Dominicis, Cyrano de}
abstractNote = {Starting from an expansion derived in a previous work, we study the contribution to the Gibbs potential of the two-body dynamical correlations, taking into account the statistical correlations. Such a contribution is of interest for low density systems at low temperature. In the zero density limit, it reduces to the Beth Uhlenbeck expression of the second virial coefficient. For a system of fermions in the zero temperature limit, it yields the contribution of the Brueckner reaction matrix to the ground state energy, plus, under certain conditions, additional terms of the form exp. (β |Δ|), where the Δ are the binding energies of 'bound states' of the type first discussed by L. Cooper. Finally, we study the wave function of two particles immersed in a medium (defined by its temperature and chemical potential). lt satisfies an equation generalizing the Bethe Goldstone equation for an arbitrary temperature. Reprint of a paper published in 'Nuclear Physics' 10, 1959, p. 181-196 [French] Partant d'un developpement extrait d'un precedent travail, nous etudions la contribution au potentiel de Gibbs des relations dynamiques du systeme de deux corps, en tenant compte des relations statistiques. Une telle contribution presente de l'interet pour les systemes a densite faible et a basse temperature. A la densite limite zero, elle se ramene a l'expression de Beth Uhlenbeck du second coefficient virial. Pour un systeme de fermions a la temperature limite zero, il produit la contribution de la matrice de reaction de Brueckner au niveau fondamental, plus, dans certaines conditions, des termes additionnels de la forme exp. (β |Δ|), ou les Δ sont les energies de liaison des 'etats lies' du premier type, discutes auparavant par L. Cooper. Finalement, on etudie la fonction d'onde de deux particules immerges dans un milieu (definie par sa temperature et son potentiel chimique). Il satisfait a une equation generalisant l'equation de Bethe Goldstone pour une temperature arbitraire. Reproduction d'un article publie dans 'Nuclear Physics' 10, 1959, p. 181-196.}
place = {France}
year = {1959}
month = {Jul}
}