An alternative approach to study the dynamical group for the modified Poschl-Teller potential

被引：16

作者：

Dong, SS ^{[1
]}

Dong, SH

机构：

[1] Dalian Univ, Ctr Computat, Dalian 116622, Peoples R China

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

来源：

CZECHOSLOVAK JOURNAL OF PHYSICS | 2002年 / 52卷 / 06期

关键词：

Poschl-Teller potential; SU(2) group; algebraic approach;

D O I：

10.1023/A:1016296912848

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The properties of the modified Poschl-Teller potential are outlined. The ladder operators are constructed directly from the wave functions without introducing any auxiliary variable. It is shown that these operators are associated to the SU(2) algebra. Analytical expressions for the functions sinh(alphax) and (1/alpha) cosh(alphax)d/dx are evaluated from these ladder operators. The harmonic limit for this system is discussed. The expansion of the coordinate x and the momentum (p) over cap from the operators of the SU(2) are also obtained.

引用

页码：753 / 764

页数：12

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