An exactly solvable three-particle problem with three-body interaction
高能物理 - 理论
2009-10-30 v2 数学物理
math.MP
摘要
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.
引用
@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}
}
备注
LaTeX, 15 pages, no figures, slightly shortened version to appear in Phys. Rev. A, one error corrected