A perturbative approach to the quantum elliptic Calogero-Sutherland model
From MaRDI portal
Publication:1853845
DOI10.1016/S0375-9601(02)01723-1zbMath1006.81023arXivmath-ph/0205042OpenAlexW2077469337MaRDI QIDQ1853845
A. M. Perelomov, W. García Fuertes, José Fernández Núñez
Publication date: 22 January 2003
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0205042
Perturbation theories for operators and differential equations in quantum theory (81Q15) Many-body theory; quantum Hall effect (81V70) Groups and algebras in quantum theory and relations with integrable systems (81R12)
Related Items (5)
Some results on the eigenfunctions of the quantum trigonometric Calogero–Sutherland model related to the Lie algebra D4 ⋮ Explicit solution of the (quantum) elliptic Calogero-Sutherland model ⋮ Explicit computations of low-lying eigenfunctions for the quantum trigonometric Calogero-Sutherland model related to the exceptional algebra \(E _{7}\) ⋮ Some results on the eigenfunctions of the quantum trigonometric Calogero–Sutherland model related to the Lie algebra E6 ⋮ Quantum trigonometric Calogero-Sutherland model, irreducible characters and Clebsch-Gordan series for the exceptional algebra E7
Cites Work
- Unnamed Item
- Unnamed Item
- Some applications of hypergeometric shift operators
- Derivatives of generalized Gegenbauer polynomials
- Some combinatorial properties of Jack symmetric functions
- An elementary construction of lowering and raising operators for the trigonometric Calogero-Sutherland model
- Explicit solution of the quantum three-body Calogero - Sutherland model
- On the structure of eigenvectors of the multidimensional Lame operator
- Quantum integrable systems and Clebsch-Gordan series: II
- Quantum integrable systems and Clebsch - Gordan series. I
- Black holes and Calogero models
This page was built for publication: A perturbative approach to the quantum elliptic Calogero-Sutherland model
