English

Derivations of the trigonometric BC(n) Sutherland model by quantum Hamiltonian reduction

Mathematical Physics 2010-08-16 v2 High Energy Physics - Theory Differential Geometry math.MP Exactly Solvable and Integrable Systems

Abstract

The BC(n) Sutherland Hamiltonian with coupling constants parametrized by three arbitrary integers is derived by reductions of the Laplace operator of the group U(N). The reductions are obtained by applying the Laplace operator on spaces of certain vector valued functions equivariant under suitable symmetric subgroups of U(N)\times U(N). Three different reduction schemes are considered, the simplest one being the compact real form of the reduction of the Laplacian of GL(2n,C) to the complex BC(n) Sutherland Hamiltonian previously studied by Oblomkov.

Keywords

Cite

@article{arxiv.0909.5208,
  title  = {Derivations of the trigonometric BC(n) Sutherland model by quantum Hamiltonian reduction},
  author = {L. Feher and B. G. Pusztai},
  journal= {arXiv preprint arXiv:0909.5208},
  year   = {2010}
}

Comments

30 pages, LateX; v2: final version with minor stylistic modifications