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arxiv: solv-int/9611006 · v1 · submitted 1996-11-21 · solv-int · hep-th· math.QA· nlin.SI· q-alg

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

Kouichi Takemura , Denis Uglov This is my paper
classification solv-int hep-thmath.QAnlin.SIq-alg
keywords eigenvectorscalogero-sutherlandgelfand-zetlinmodelnormsorthogonalspinyangian
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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.

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  1. Norms, overlaps and Yangian descendants for the Haldane--Shastry spin chain

    cond-mat.stat-mech 2026-06 unverdicted novelty 7.0

    Constructs Yangian descendants for the Haldane-Shastry chain via algebraic Bethe ansatz and derives norms and overlaps formulae.