Publications at the Riemann Center

The quantum angular Calogero-Moser model

authored by
Mikhail Feigin, Olaf Lechtenfeld, Alexios P. Polychronakos
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 ℝn 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.

Organisation(s)
Institut für Theoretische Physik
Riemann Center for Geometry and Physics
External Organisation(s)
University of Glasgow
New York University (NYU)
City University of New York
Type
Artikel
Journal
Journal of high energy physics
Volume
2013
ISSN
1126-6708
Publication date
2013
Publication status
Veröffentlicht
Peer reviewed
Yes
ASJC Scopus Sachgebiete
Kern- und Hochenergiephysik
Electronic version(s)
https://doi.org/10.1007/JHEP07(2013)162 (Access: Unbekannt)