The propagator of the Calogero-Moser system in an external quadratic potential (Q1299161)
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scientific article; zbMATH DE number 1326849
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The propagator of the Calogero-Moser system in an external quadratic potential |
scientific article; zbMATH DE number 1326849 |
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The propagator of the Calogero-Moser system in an external quadratic potential (English)
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3 April 2000
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The author considers the problem on the line, starting not from a symmetric space. The radial reduction leading to Calogero's problem is given. Hamilton operators of the Calogero-Moser quantum system in an external quadratic potential by conjugating the radial part for the action of \(\text{SO}(n)\) by conjugacy of the Hamilton operator of the quantum harmonic oscillator on the Euclidean vector space of real symmetric matrices is obtained. The propagator of the problem is obtained. The short time approximation is given.
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propagators
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classical and quantum integrable systems
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semi-classical approximation
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0.9042318
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0.89236486
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0.8893614
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0.88915896
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0.88880825
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0.8860782
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0.8852967
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0.8851567
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