The Yangian Symmetry in the Spin Calogero Model and its Applications

Kouichi Takemura

doi:10.1088/0305-4470/30/17/025

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The Yangian Symmetry in the Spin Calogero Model and its Applications

Kouichi Takemura

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Abstract

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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BibTeX RIS

Kouichi Takemura. 1997-04-15. The Yangian Symmetry in the Spin Calogero Model and its Applications. https://doi.org/10.1088/0305-4470%2F30%2F17%2F025

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