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).

引用

页数：7

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