Feigin, M. , Lechtenfeld, O. and Polychronakos, A. (2013) The quantum angular Calogero-Moser model. Journal of High Energy Physics, 2013(162), (doi: 10.1007/JHEP07(2013)162)
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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 S^{n-1}. We discuss the energy spectrum of this 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 model’, 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.
Item Type: | Articles |
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Additional Information: | The final publication is available at link.springer.com |
Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | Feigin, Professor Misha |
Authors: | Feigin, M., Lechtenfeld, O., and Polychronakos, A. |
Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
Journal Name: | Journal of High Energy Physics |
Journal Abbr.: | JHEP |
Publisher: | SISSA |
ISSN: | 1029-8479 |
ISSN (Online): | 1029-8479 |
Copyright Holders: | Copyright © 2013 SISSA |
First Published: | First published in Journal of High Energy Physics 2013:162 |
Publisher Policy: | Reproduced in accordance with the copyright policy of the publisher |
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