POLYNOMIAL DEFORMATIONS OF sl(2, ℝ) IN A THREE-DIMENSIONAL INVARIANT SUBSPACE OF MONOMIALS-Reference-Cited by-同舟云学术

POLYNOMIAL DEFORMATIONS OF sl(2, ℝ) IN A THREE-DIMENSIONAL INVARIANT SUBSPACE OF MONOMIALS

Published:2003-05-20 Issue:15 Volume:18 Page:1013-1022
ISSN:0217-7323
Container-title:Modern Physics Letters A
language:en
Short-container-title:Mod. Phys. Lett. A

Author:

DEBERGH N.¹,NDIMUBANDI J.²,VAN DEN BOSSCHE B.³

Affiliation:

1. Techniques du son et de l'image, Montefiore Institute (B28), University of Liège, B-4000 Liège, Belgium

2. Department of Mathematics, University of Burundi, P. O. Box 2700, Bujumbura, Burundi

3. Fundamental Theoretical Physics, Institute of Physics (B5), University of Liège, B-4000 Liège, Belgium

Abstract

New finite-dimensional representations of specific polynomial deformations of sl (2, ℝ) are constructed. The corresponding generators can be, in particular, realized through linear differential operators preserving a finite-dimensional subspace of monomials. We concentrate on three-dimensional spaces.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217732303010831

Reference4 articles.

1. Quasi-exactly-solvable problems andsl(2) algebra

2. Normalizability of one-dimensional quasi-exactly solvable Schrödinger operators

3. The relation between polynomial deformations ofsl(2,R) and quasi-exact solvability

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Non-standard quantum algebras and finite dimensional PT -symmetric systems;Journal of Physics A: Mathematical and Theoretical;2024-01-04

2. Polynomial algebras from Lie algebra reduction chains g ⊃ g ′;Annals of Physics;2023-12

3. Maximal superintegrability of the generalized Kepler–Coulomb system onN-dimensional curved spaces;Journal of Physics A: Mathematical and Theoretical;2009-05-26

4. Discrete representations for the deformedsu(1, 1) algebra via the magnetic monopole harmonics;Journal of Physics A: Mathematical and Theoretical;2008-06-27

5. Generalized rotational Hamiltonians from nonlinear angular momentum algebras;Physical Review C;2007-04-26