Semiclassical trace formulae using coherent states. (Q2738970)
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scientific article; zbMATH DE number 1643324
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Semiclassical trace formulae using coherent states. |
scientific article; zbMATH DE number 1643324 |
Statements
20 January 2004
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semiclassical approximation
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trace formulae
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coherent states
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density of states
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periodic orbits
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Semiclassical trace formulae using coherent states. (English)
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The authors use coherent states to obtain semiclassical trace formulae which include those previously obtained by Gutzwiller, relating the density of states of a quantum system to periodic orbits of the corresponding classical Hamiltonian. The method proposed by the authors, based on the remark that classical periodic orbits make separate contributions to the trace of the quantum-mechanical time evolution operator, improves the original proof of the trace formula done by Gutzwiller.
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