English

An orthogonal basis for the $B_N$-type Calogero model

solv-int 2008-02-03 v2 Condensed Matter High Energy Physics - Theory Quantum Algebra Exactly Solvable and Integrable Systems q-alg

Abstract

We investigate algebraic structure for the BNB_N-type Calogero model by using the exchange-operator formalism. We show that the set of the Jack polynomials whose arguments are Dunkl-type operators provides an orthogonal basis.

Keywords

Cite

@article{arxiv.solv-int/9610010,
  title  = {An orthogonal basis for the $B_N$-type Calogero model},
  author = {Saburo Kakei},
  journal= {arXiv preprint arXiv:solv-int/9610010},
  year   = {2008}
}

Comments

9 pages, LaTeX, no figures, several errors are corrected, Appendix is added