Intertwining algebras of quantum superintegrable systems on the hyperboloid

被引：0
|
作者：
Calzada, J. A. [1 ]
Kuru, S. [2 ]
Negro, J. [3 ]
del Olmo, M. A. [3 ]
机构：
[1] Univ Valladolid, Dept Matemat Aplicada, Escuela Super Ingenieros Ind, E-47011 Valladolid, Spain
[2] Ankara Univ, Fac Sci, Dept Phys, TR-06100 Ankara, Turkey
[3] Univ Valladolid, Fac Ciencias, Dept Fis Teor Atom & Opt, E-47011 Valladolid, Spain
来源：
5TH INTERNATIONAL SYMPOSIUM ON QUANTUM THEORY AND SYMMETRIES QTS5 | 2008年 / 128卷
关键词：
ISOSPECTRAL POTENTIALS; WINTERNITZ SYSTEM; 2; DIMENSIONS; FACTORIZATIONS; SPHERE;
D O I：
10.1088/1742-6596/128/1/012026
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A class of quantum superintegrable Hamiltonians defined on a two-dimensional hyperboloid is considered together with a set of intertwining operators connecting all of them. It is shown that such intertwining operators close a su(2,1) Lie algebra and determine the Hamiltonians through the Casimir operators. The physical states are characterized as unitary representations of su(2, 1).
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