The quantum angular Calogero-Moser model

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Feigin, Mikhail; Lechtenfeld, Olaf; Polychronakos, Alexios P.: The quantum angular Calogero-Moser model. In: Journal of High Energy Physics 2013 (2013), Nr. 7, 162. DOI: https://doi.org/10.1007/JHEP07(2013)162

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Sum total of downloads: 132




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Abstract: 
The rational Calogero-Moser model of n one-dimensional quantum particles with inverse-square pairwise interactions (in a confining harmonic potential) is reduced along the radial coordinate of R-n to the 'angular Calogero-Moser model' on the sphere Sn-1 We discuss the energy spectrum of tins quantum system, its degeneracies and the eigenstates. The spectral flow with the coupling parameter yields isospectrality for integer increments. Decoupling the center of mass before effecting the spherical reduction produces a 'relative angular Calogero-Moser which is analyzed in parallel. We generalize our considerations to the Calogero-Moser models associated with Coxeter groups. Finally, we attach spin degrees of freedom to our particles and extend the results to the spin-Calogero system.
License of this version: CC BY 4.0 Unported
Document Type: article
Publishing status: publishedVersion
Issue Date: 2013
Appears in Collections:Fakultät für Mathematik und Physik

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1 image of flag of Germany Germany 125 94.70%
2 image of flag of United States United States 3 2.27%
3 image of flag of Morocco Morocco 1 0.76%
4 image of flag of Italy Italy 1 0.76%
5 image of flag of China China 1 0.76%
6 image of flag of Belgium Belgium 1 0.76%

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