Algebraic Construction of a New Symmetric Orthogonal Basis for the Calogero Model

DOI10.1143/JPSJ.67.1zbMath0943.81055arXivcond-mat/9706156MaRDI QIDQ4491494

Miki Wadati, Hideaki Ujino

Publication date: 26 July 2000

Published in: Journal of the Physical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9706156

zbMATH Keywords

Hi-Jack polynomialDunkl operatorquantum harmonic oscillatorssimultaneous eigenfunctions operators

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Many-body theory; quantum Hall effect (81V70)

Related Items (6)

Commutative families in \(W_\infty\), integrable many-body systems and hypergeometric \(\tau\)-functions ⋮ COHERENT STATES AND GEOMETRIC PHASES IN THE CALOGERO–SUTHERLAND MODEL ⋮ Generalized Hermite polynomials in superspace as eigenfunctions of the supersymmetric rational CMS model ⋮ New nonsymmetric orthogonal basis for the Calogero model with distinguishable particles ⋮ On an exactly solvable \(B_N\) type Calogero model with non-Hermitian PT invariant interaction ⋮ Symmetric Fock space and orthogonal symmetric polynomials associated with the Calogero model

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