The Rayleigh-Schrödinger perturbation series of quasi-degenerate systems

Abstract : We present the first representation of the general term of the Rayleigh-Schrödinger series for quasidegenerate systems. Each term of the series is represented by a tree and there is a straightforward relation between the tree and the analytical expression of the corresponding term. The combinatorial and graphical techniques used in the proof of the series expansion allow us to derive various resummation formulas of the series. The relation with several combinatorial objects used for special cases (degenerate or non-degenerate systems) is established.
Type de document :
Article dans une revue
International Journal of Quantum Chemistry, Wiley, 2012, 112 (10), pp.2256-2266. 〈10.1002/qua.23201〉
Liste complète des métadonnées

Littérature citée [66 références]  Voir  Masquer  Télécharger

https://hal.archives-ouvertes.fr/hal-00533128
Contributeur : Christian Brouder <>
Soumis le : vendredi 5 novembre 2010 - 11:41:39
Dernière modification le : mardi 11 octobre 2016 - 14:39:00
Document(s) archivé(s) le : dimanche 6 février 2011 - 02:44:08

Fichiers

raybib.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

Collections

Citation

Christian Brouder, Gérard Duchamp, Frédéric Patras, Gabor Toth. The Rayleigh-Schrödinger perturbation series of quasi-degenerate systems. International Journal of Quantum Chemistry, Wiley, 2012, 112 (10), pp.2256-2266. 〈10.1002/qua.23201〉. 〈hal-00533128〉

Partager

Métriques

Consultations de
la notice

239

Téléchargements du document

442