Generalized Calogero-Sutherland systems from many-matrix models
Polychronakos, Alexios P.
arXiv, 9806189 / Harvested from arXiv
Text on arXiv
We construct generalizations of the Calogero-Sutherland-Moser system by appropriately reducing a model involving many unitary matrices. The resulting systems consist of particles on the circle with internal degrees of freedom, coupled through modifications of the inverse-square potential. The coupling involves SU(M) non-invariant (anti)ferromagnetic interactions of the internal degrees of freedom. The systems are shown to be integrable and the spectrum and wavefunctions of the quantum version are derived.
Publié le : 1998-06-23
Classification:  High Energy Physics - Theory,  Condensed Matter - Strongly Correlated Electrons,  Mathematical Physics,  Nonlinear Sciences - Exactly Solvable and Integrable Systems 
@article{9806189,
     author = {Polychronakos, Alexios P.},
     title = {Generalized Calogero-Sutherland systems from many-matrix models},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9806189}
}

Polychronakos, Alexios P. Generalized Calogero-Sutherland systems from many-matrix models. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9806189/