Exact solution of the quantum Calogero–Gaudin system and of its q deformation

DOI10.1063/1.1308508zbMath0972.81072arXivsolv-int/9910008OpenAlexW2052346637MaRDI QIDQ2738258

Fabio Musso, Orlando Ragnisco

Publication date: 30 August 2001

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9910008

zbMATH Keywords

eigenvalues and eigenfunctionsalgebraic procedurecoalgebra invariancecomplete set of commuting observablesdiagonalizedexactly solved

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Exactly solvable models; Bethe ansatz (82B23) 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 (3)

Classical Hamiltonian systems with sl(2) coalgebra symmetry and their integrable deformations ⋮ Coupling coefficients of \(\operatorname{su}_{q}(1,1)\) and multivariate \(q\)-Racah polynomials ⋮ Exact solution to a supersymmetric Gaudin model

Cites Work

• Generating function of correlators in the \(sl_2\) Gaudin model
• \(N\)-dimensional classical integrable systems from Hopf algebras
• Harmonics on hyperspheres, separation of variables and the Bethe ansatz
• An integrable Hamiltonian system
• Integrable structure of the new Calogero models
• A systematic construction of completely integrable Hamiltonians from coalgebras
• Generalized Lamé functions. I. The elliptic case
• Solvable quantum version of an integrable Hamiltonian system

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