The Yangian Symmetry in the Spin Calogero Model and its Applications

Details The Yangian Symmetry in the Spin Calogero Model and its Applications The Yangian Symmetry in the Spin Calogero Model and its Applications

1997-01-22

arxiv.org/abs/solv-int/9701015v2

Physics

Condensed Matter

18 pages, AMSLaTeX

Scientific paper

10.1088/0305-4470/30/17/025

By using the non-symmetric Hermite polynomials and a technique based on the
Yangian Gelfand-Zetlin bases, we decompose the space of states of the Calogero
model with spin into irreducible Yangian modules, construct an orthogonal basis
of eigenvectors and derive product-type formulas for norms of these
eigenvectors.

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