English

The orthogonal eigenbasis and norms of eigenvectors in the Spin Calogero-Sutherland Model

solv-int 2009-10-30 v1 High Energy Physics - Theory Quantum Algebra Exactly Solvable and Integrable Systems q-alg

Abstract

Using a technique based on the Yangian Gelfand-Zetlin algebra and the associated Yangian Gelfand-Zetlin bases we construct an orthogonal basis of eigenvectors in the Calogero-Sutherland Model with spin, and derive product-type formulas for norms of these eigenvectors.

Keywords

Cite

@article{arxiv.solv-int/9611006,
  title  = {The orthogonal eigenbasis and norms of eigenvectors in the Spin Calogero-Sutherland Model},
  author = {Kouichi Takemura and Denis Uglov},
  journal= {arXiv preprint arXiv:solv-int/9611006},
  year   = {2009}
}

Comments

35 pages, AMSLaTeX