The Yangian Symmetry in the Spin Calogero Model and its Applications
classification
solv-int
cond-mathep-thmath.QAnlin.SIq-alg
keywords
yangiancalogeroeigenvectorsmodelspinapplicationsbasesbasis
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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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