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Integrable extensions of the rational and trigonometric AN Calogero-Moser potentials

โœ Scribed by J. Avan


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
672 KB
Volume
185
Category
Article
ISSN
0375-9601

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๐Ÿ“œ SIMILAR VOLUMES


Integrability and algebraic structure of
โœ Miki Wadati; Kazuhiro Hikami; Hideaki Ujino ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 325 KB

For the quantum Calogero-Moser model, we present the following two results. First, it has a set of conserved operators which are involutive. This proves the integrability of the model. Second, the Lax operator gives a list of new operators (boost operators). The conserved operators and the boost ope

The propagator of the Calogero-Moser sys
โœ M. Fleury ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 960 KB

We obtain the Hamilton operator of the Calogero-Moser quantum system in an external quadratic potential by conjugating the radial part for the action of SO(n) by conjugacy of the Hamilton operator of the quantum harmonic oscillator on the Euclidean vector space of real symmetric matrices. Then, with