A Quasi-Exactly Solvable N-Body Problem with the sl(N+1) Algebraic Structure
Hou, Xinrui ; Shifman, M.
arXiv, 9812157 / Harvested from arXiv
Text on arXiv
Starting from a one-particle quasi-exactly solvable system, which is characterized by an intrinsic sl(2) algebraic structure and the energy-reflection symmetry, we construct a daughter N-body Hamiltonian presenting a deformation of the Calogero model. The features of this Hamiltonian are (i) it reduces to a quadratic combination of the generators of sl(N+1); (ii) the interaction potential contains two-body terms and interaction with the force center at the origin; (iii) for quantized values of a certain cohomology parameter n it is quasi-exactly solvable, the multiplicity of states in the algebraic sector is (N+n)!/(N!n!); (iv) the energy-reflection symmetry of the parent system is preserved.
Publié le : 1998-12-17
Classification:  High Energy Physics - Theory,  Mathematical Physics 
@article{9812157,
     author = {Hou, Xinrui and Shifman, M.},
     title = {A Quasi-Exactly Solvable N-Body Problem with the sl(N+1) Algebraic
  Structure},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9812157}
}

Hou, Xinrui; Shifman, M. A Quasi-Exactly Solvable N-Body Problem with the sl(N+1) Algebraic
  Structure. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9812157/