An algebraic approach to the ring-shaped non-spherical oscillator

被引：67
作者：
Dong, SH
Sun, GH
Lozada-Cassou, A
机构：
[1] Inst Mexicano Petr, Programa Ingn Mol, Mexico City 07730, DF, Mexico
[2] Univ Nacl Autonoma Mexico, Inst Invest Matemat Aplicadas & Sistemas, Mexico City 01000, DF, Mexico
来源：
PHYSICS LETTERS A | 2004年 / 328卷 / 4-5期
关键词：
ring-shaped non-spherical oscillator; ladder operators; SU(1,1) group; Matrix elements;
D O I：
10.1016/j.physleta.2004.06.037
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The eigenfunctions and eigenvalues of the Schrodinger equation witha ring-shaped non-spherical oscillator are obtained. A realization of the ladder operators for the radial wave functions is studied. It is found that these operators satisfy the commutation relations of an SU(1, 1) group. The closed analytical expressions for the matrix elements of different functions p and rho (d)/(drho) with rho = r(2) are evaluated. (C) 2004 Published by Elsevier B.V.
引用
收藏
页码：299 / 305
页数：7
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