The SU(2) realization for the Morse potential and its coherent states

被引：41

作者：

Dong, SH ^{[1
]}

机构：

[1] Univ Nacl Autonoma Mexico, Inst Ciencias Nucl, Mexico City 04510, DF, Mexico

来源：

CANADIAN JOURNAL OF PHYSICS | 2002年 / 80卷 / 02期

关键词：

D O I：

10.1139/P01-130

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A realization of the raising and lowering operators for the Morse potential is presented. We show that these operators satisfy the commutation relations for the SU(2) group. Closed analytical expressions are derived for the matrix elements of different functions such as 1/y and d/dy. The harmonic limit of the SU(2) operators is also studied. The transition probability between two eigenstates produced by a harmonic perturbation as a function of the operators (K) over cap (+/-.0) is discussed. The average values of some observables in the coherent states |alpha > for the Morse potential are also calculated.

引用

页码：129 / 139

页数：11

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