The Yangian Symmetry in the Spin Calogero Model and its Applications

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.

18 pages, AMSLaTeX

Cited by in corpus (4)

• New Non-Symmetric Orthogonal Basis for the Calogero Model with Distinguishable Particles
• Rodrigues Formula for the Nonsymmetric Multivariable Hermite Polynomial
• Rodrigues Formula for the Nonsymmetric Multivariable Laguerre Polynomial
• Algebraic study on the $A_{N-1}$- and $B_N$-Calogero models with bosonic, fermionic and distinguishable particles