Heisenberg-Weyl operator algebras associated to the models of Calogero-Sutherland type and isomorphism of rational and trigonometric models.

DOI10.1007/BF02355452zbMath1144.37441MaRDI QIDQ1576014

Valentina Golubeva, V. P. Leksin

Publication date: 24 August 2000

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Groups and algebras in quantum theory and relations with integrable systems (81R12) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20)

Related Items (2)

On the coincidence of two manifolds associated with the Calogero model ⋮ Bethe manifolds associated with classical root systems

Cites Work

• Unnamed Item
• The Calogero-Sutherland model and polynomials with prescribed symmetry
• A recursion and a combinatorial formula for Jack polynomials
• Harmonic analysis for certain representations of graded Hecke algebras
• A unification of Knizhnik-Zamolodchikov and Dunkl operators via affine Hecke algebras
• An elementary approach to the hypergeometric shift operators of Opdam
• Differential-Difference Operators Associated to Reflection Groups
• Some properties of the Calogero - Sutherland model with reflections
• The orthogonal eigenbasis and norms of eigenvectors in the spin Calogero - Sutherland model
• An orthogonal basis for the -type Calogero model
• Common algebraic structure for the Calogero - Sutherland models
• Rodrigues Formula for Hi-Jack Symmetric Polynomials Associated with the Quantum Calogero Model
• Algebraic Construction of the Eigenstates for the Second Conserved Operator of the Quantum Calogero Model
• Exchange operator formalism for integrable systems of particles

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