Abstract
Report on the most recent developments in the theory of systems of interacting fermions. After having given the general form of the ground state energy in perturbation theory, one indicates the terms whose summation tends to the Brueckner approximation. The numerical results obtained with this theory are briefly mentioned. A discussion is given about the difficulty occurring in the case of potentials which are attractive near the Fermi surface due to the existence of the Cooper bound states. The main ideas of the proof of the Van Hove Hugenholtz theorem on the Fermi energy are indicated and its implications for the Brueckner theory are given. The extension of the methods described here to statistical mechanics are briefly mentioned. In the discussion, Professor Brueckner reports on the most recent results concerning the application of his theory to finite nuclei. Professor Migdal reviews the results which he has obtained with the method of Green's functions on the superconducting properties of finite nuclei. Professor Weisskopf gives a qualitative explanation of the success of the Brueckner theory. (author) [French] Rapport sur les recents travaux portant sur la theorie des systemes de fermions en interaction. Apres avoir donne la forme generale du developpement de l'energie
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Bloch,
[1]
- Commissariat a l'Energie Atomique, Saclay (France).Centre d'Etudes Nucleaires
Citation Formats
Bloch,.
The structure of nuclear matter; La structure de la matiere nucleaire.
France: N. p.,
1959.
Web.
Bloch,.
The structure of nuclear matter; La structure de la matiere nucleaire.
France.
Bloch,.
1959.
"The structure of nuclear matter; La structure de la matiere nucleaire."
France.
@misc{etde_20940742,
title = {The structure of nuclear matter; La structure de la matiere nucleaire}
author = {Bloch,}
abstractNote = {Report on the most recent developments in the theory of systems of interacting fermions. After having given the general form of the ground state energy in perturbation theory, one indicates the terms whose summation tends to the Brueckner approximation. The numerical results obtained with this theory are briefly mentioned. A discussion is given about the difficulty occurring in the case of potentials which are attractive near the Fermi surface due to the existence of the Cooper bound states. The main ideas of the proof of the Van Hove Hugenholtz theorem on the Fermi energy are indicated and its implications for the Brueckner theory are given. The extension of the methods described here to statistical mechanics are briefly mentioned. In the discussion, Professor Brueckner reports on the most recent results concerning the application of his theory to finite nuclei. Professor Migdal reviews the results which he has obtained with the method of Green's functions on the superconducting properties of finite nuclei. Professor Weisskopf gives a qualitative explanation of the success of the Brueckner theory. (author) [French] Rapport sur les recents travaux portant sur la theorie des systemes de fermions en interaction. Apres avoir donne la forme generale du developpement de l'energie de l'etat fondamental dans la theorie des perturbations, on indique les termes dont la sommation conduit a l'approximation de Brueckner. Les resultats numeriques obtenus a l'aide de cette theorie sont brievement mentionnes. Une discussion est donnee de la difficulte survenant dans le cas des potentiels attractifs au voisinage de la surface de Fermi par suite de l'existence des etats lies de Cooper. Les idees essentielles de la demonstration du theoreme de Van Hove et Hugenholtz sur l'energie de Fermi sont indiquees ainsi que ses consequences pour la theorie de Brueckner. L'extension des methodes decrites a la Mecanique Statistique est brievement mentionnee. Dans la discussion, le professeur Brueckner indique les derniers resultats concernant l'application de sa theorie aux noyaux finis. Le professeur Migdal resume les resultats qu'il a obtenu a l'aide de la methode des fonctions de Green sur les proprietes de superconductivite des noyaux finis. Le professeur Weisskopf donne une explication qualitative du succes de la theorie de Brueckner. (auteur)}
place = {France}
year = {1959}
month = {Jul}
}
title = {The structure of nuclear matter; La structure de la matiere nucleaire}
author = {Bloch,}
abstractNote = {Report on the most recent developments in the theory of systems of interacting fermions. After having given the general form of the ground state energy in perturbation theory, one indicates the terms whose summation tends to the Brueckner approximation. The numerical results obtained with this theory are briefly mentioned. A discussion is given about the difficulty occurring in the case of potentials which are attractive near the Fermi surface due to the existence of the Cooper bound states. The main ideas of the proof of the Van Hove Hugenholtz theorem on the Fermi energy are indicated and its implications for the Brueckner theory are given. The extension of the methods described here to statistical mechanics are briefly mentioned. In the discussion, Professor Brueckner reports on the most recent results concerning the application of his theory to finite nuclei. Professor Migdal reviews the results which he has obtained with the method of Green's functions on the superconducting properties of finite nuclei. Professor Weisskopf gives a qualitative explanation of the success of the Brueckner theory. (author) [French] Rapport sur les recents travaux portant sur la theorie des systemes de fermions en interaction. Apres avoir donne la forme generale du developpement de l'energie de l'etat fondamental dans la theorie des perturbations, on indique les termes dont la sommation conduit a l'approximation de Brueckner. Les resultats numeriques obtenus a l'aide de cette theorie sont brievement mentionnes. Une discussion est donnee de la difficulte survenant dans le cas des potentiels attractifs au voisinage de la surface de Fermi par suite de l'existence des etats lies de Cooper. Les idees essentielles de la demonstration du theoreme de Van Hove et Hugenholtz sur l'energie de Fermi sont indiquees ainsi que ses consequences pour la theorie de Brueckner. L'extension des methodes decrites a la Mecanique Statistique est brievement mentionnee. Dans la discussion, le professeur Brueckner indique les derniers resultats concernant l'application de sa theorie aux noyaux finis. Le professeur Migdal resume les resultats qu'il a obtenu a l'aide de la methode des fonctions de Green sur les proprietes de superconductivite des noyaux finis. Le professeur Weisskopf donne une explication qualitative du succes de la theorie de Brueckner. (auteur)}
place = {France}
year = {1959}
month = {Jul}
}