Canonical partition function of Hamiltonian systems and the stationary phase formula
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.
scientific article; zbMATH DE number 4088552