Canonical partition function of Hamiltonian systems and the stationary phase formula (Q1116133)
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scientific article; zbMATH DE number 4088552
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Canonical partition function of Hamiltonian systems and the stationary phase formula |
scientific article; zbMATH DE number 4088552 |
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Canonical partition function of Hamiltonian systems and the stationary phase formula (English)
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1988
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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.
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partition function
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Duistermaat-Heckman integration
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Calogero-Moser systems
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stationary phase approximation
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