An exactly solvable three-particle problem with three-body interaction
Quesne, C.
arXiv, 9612173 / Harvested from arXiv
Text on arXiv
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.
Publié le : 1996-12-17
Classification:  High Energy Physics - Theory,  Mathematical Physics 
@article{9612173,
     author = {Quesne, C.},
     title = {An exactly solvable three-particle problem with three-body interaction},
     journal = {arXiv},
     volume = {1996},
     number = {0},
     year = {1996},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9612173}
}

Quesne, C. An exactly solvable three-particle problem with three-body interaction. arXiv, Tome 1996 (1996) no. 0, . http://gdmltest.u-ga.fr/item/9612173/