AN ALGEBRAIC APPROACH TO THE EIGENSTATES OF THE CALOGERO MODEL

DOI10.1142/S0217979202011871zbMath1073.81597OpenAlexW1984983874MaRDI QIDQ5312075

Hideaki Ujino

Publication date: 30 August 2005

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217979202011871

Mathematics Subject Classification ID

Quantization in field theory; cohomological methods (81T70) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Cites Work

• The Calogero-Sutherland model and polynomials with prescribed symmetry
• Orthogonal polynomials of types \(A\) and \(B\) and related Calogero models
• A recursion and a combinatorial formula for Jack polynomials
• A unification of Knizhnik-Zamolodchikov and Dunkl operators via affine Hecke algebras
• An algebraic study on theA_N-1- andB_N-Calogero models with bosonic, fermionic and distinguishable particles
• Orthogonality of the Hi-Jack Polynomials Associated with the Calogero Model
• Rodrigues Formula for Hi-Jack Symmetric Polynomials Associated with the Quantum Calogero Model
• Exchange operator formalism for integrable systems of particles
• Bosonic and fermionic eigenstates for generalized Sutherland models
• Intertwining operators for a degenerate double affine Hecke algebra and multivariable orthogonal polynomials

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