Canonical partition function of Hamiltonian systems and the stationary phase formula
type: Item
instance of: scholarly article
title: Canonical partition function of Hamiltonian systems and the stationary phase formula
zbMATH Open document ID: 0665.58013
DOI: 10.1007/BF01228410
published in: Communications in Mathematical Physics
publication date: 1988-01-01T00:00:00Z
review text: The Duistermaat-Heckman integration formula is applied to compute the canonical partition function of integrable Hamiltonian systems arising from torus actions. The partition functions for the Calogero-Moser systems and their Olshanetsky-Perelomov's generalizations are found by the method to be equal to their stationary phase approximation.
Mathematics Subject Classification ID: 37J99
zbMATH DE Number: 4088552
zbMATH Keywords: partition function
zbMATH Keywords: Duistermaat-Heckman integration
zbMATH Keywords: Calogero-Moser systems
zbMATH Keywords: stationary phase approximation
author: Jean-Pierre Francoise
MaRDI profile type: Publication
cites work: Some finite dimensional integrable systems and their scattering behavior
cites work: Zeros d'un champ de vecteurs et classes characteristiques équivariantes
cites work: Q5580320
cites work: On the variation in the cohomology of the symplectic form of the reduced phase space
cites work: On the calculation of an integral
cites work: A Remarkable Property of Definite Integrals
cites work: Q3696183
cites work: Hamiltonian group actions and dynamical systems of calogero type
cites work: Three integrable Hamiltonian systems connected with isospectral deformations
cites work: Q3863139
description: scientific article; zbMATH DE number 4088552