Some results on the eigenfunctions of the quantum trigonometric Calogero–Sutherland model related to the Lie algebra D4
DOI10.1063/1.1618362zbMath1062.81081arXivmath-ph/0305012OpenAlexW4229488614WikidataQ115334027 ScholiaQ115334027MaRDI QIDQ4833158
José Fernández Núñez, A. M. Perelomov, W. García Fuertes
Publication date: 14 December 2004
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0305012
PDEs in connection with quantum mechanics (35Q40) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Groups and algebras in quantum theory and relations with integrable systems (81R12) Applications of Lie algebras and superalgebras to integrable systems (17B80) Hypergeometric functions associated with root systems (33C67)
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Cites Work
- Three integrable Hamiltonian systems connected with isospectral deformations
- Quantum completely integrable systems connected with semi-simple Lie algebras
- Quantum systems related to root systems, and radial parts of Laplace operators
- Derivatives of generalized Gegenbauer polynomials
- A perturbative approach to the quantum elliptic Calogero-Sutherland model
- An elementary construction of lowering and raising operators for the trigonometric Calogero-Sutherland model
- Explicit solution of the quantum three-body Calogero - Sutherland model
- Quantum integrable systems and Clebsch-Gordan series: II
- Quantum integrable systems and Clebsch - Gordan series. I
- Self-dual Koornwinder-Macdonald polynomials
