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| HAL : hal-00394238, version 2 |
| arXiv : 0906.2052 |
| DOI : 10.1103/PhysRevLett.103.230401 |
| Fiche détaillée |  Récupérer au format |
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| Physical Review Letters 103, 23 (2009) 230401 |
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| Versions disponibles : | v1 (11-06-2009) | v2 (31-10-2009) |
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| The many-body Green function of degenerate systems |
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| Christian Brouder 1Gianluca Panati 2 |
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| (2009) |
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| A rigorous non perturbative adiabatic approximation of the evolution operator in the many-body physics of degenerate systems is derived. This approximation is used to solve the long-standing problem of the choice of the initial states of H0 leading to eigenstates of H0+V for degenerate systems. These initial states are eigenstates of P0 V P0, where P0 is the projection onto a degenerate eigenspace of H0. This result is used to give the proper definition of the Green function, the statistical Green function and the non-equilibrium Green function of degenerate systems. The convergence of these Green functions is established. |
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| 1 : | Institut de minéralogie et de physique des milieux condensés (IMPMC) |
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CNRS : UMR7590 – IPG PARIS – Université Paris VI - Pierre et Marie Curie – Université Paris VII - Paris Diderot |
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| 2 : | Dipartimento di Matematica "Guido Castelnuovo" [Roma I] |
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Universita di Roma "La Sapienza" |
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| 3 : | Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique (CERMICS) |
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Ecole des Ponts ParisTech |
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| Domaine | : | Physique/Matière Condensée/Electrons fortement corrélés Physique/Physique mathématique Mathématiques/Physique mathématique |
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| Green's functions – adiabatic approximation – degenerate systems |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00394238, version 2 | |
| http://hal.archives-ouvertes.fr/hal-00394238 | |
| oai:hal.archives-ouvertes.fr:hal-00394238 | |
| Contributeur : Christian Brouder | |
| Soumis le : Vendredi 30 Octobre 2009, 22:50:42 | |
| Dernière modification le : Jeudi 22 Juillet 2010, 23:12:36 | |
