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

Preprint

17 December 1996

preprint
Published by arXiv in arXiv

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

TRIGONOMETRIC POTENTIAL
APPROPRIATE VARIABLES
HAMILTONIAN OBTAINED
BODY INTERACTION
EXACTLY SOLVABLE
PARTICLE PROBLEM
ENERGY SPECTRUM
SIMILAR FORM
SOLVABLE

All Related Versions

Version 1, 1996-12-17, ArXiv
Version 2, 1997-05-13, ArXiv
Published version: Physical Review A, 55 (5), 3931.

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