An exactly solvable three-particle problem with three-body interaction
High Energy Physics - Theory
2009-10-30 v2 Mathematical Physics
math.MP
Abstract
The energy spectrum of the three-particle Hamiltonian obtained by replacing the two-body trigonometric potential of the Sutherland problem by a three-body one of a similar form is derived. When expressed in appropriate variables, the corresponding wave functions are shown to be expressible in terms of Jack polynomials. The exact solvability of the problem with three-body interaction is explained by a hidden sl(3,\R) symmetry.
Keywords
Cite
@article{arxiv.hep-th/9612173,
title = {An exactly solvable three-particle problem with three-body interaction},
author = {C. Quesne},
journal= {arXiv preprint arXiv:hep-th/9612173},
year = {2009}
}
Comments
LaTeX, 15 pages, no figures, slightly shortened version to appear in Phys. Rev. A, one error corrected