An exactly solvable three-particle problem with three-body interaction

Details An exactly solvable three-particle problem with three-body interaction An exactly solvable three-particle problem with three-body interaction

1996-12-17

arxiv.org/abs/hep-th/9612173v2

Phys.Rev. A55 (1997) 3931-3934

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 15 pages, no figures, slightly shortened version to appear in Phys. Rev. A, one error corrected

Scientific paper

10.1103/PhysRevA.55.3931

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.

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