The quantum angular Calogero-Moser model

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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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
Additional Information:The final publication is available at
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
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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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
569301From elliptic systems to Frobenius manifolds - 6d theories and AGTMikhail FeiginRoyal Society (ROYSOC)JP101196M&S - MATHEMATICS