The hidden symmetry for a quantum system with a Poschl-Teller-like potential

被引：19
作者：
Dong, SH
Sun, GH
Tang, Y
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
[3] Univ Nacl Autonoma Mexico, Fac Ingn, Mexico City 04510, DF, Mexico
来源：
INTERNATIONAL JOURNAL OF MODERN PHYSICS E-NUCLEAR PHYSICS | 2003年 / 12卷 / 06期
关键词：
Poschl-Teller-like potential; SU(1,1) group; matrix element;
D O I：
10.1142/S0218301303001570
中图分类号：
O57 [原子核物理学、高能物理学];
学科分类号：
070202 ;
摘要：
The eigenvalues and eigenfunctions of the Schrodinger equation with a Poschl-Teller (PT)-like potential are presented. A realization of the creation and annihilation operators for the wave functions is carried out. It is shown that these operators satisfy the commutation relations of an SU(1, 1) group. Closed analytical expressions are evaluated for the matrix elements of different functions, sin(rho) and cos(rho)d/drho with rho = 7pix/L.
引用
收藏
页码：809 / 815
页数：7
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