Realizing the Underlying Quantum Dynamical Algebra SU（2） in Morse Potential  

作　　者：王雪红 刘玉斌 

机构地区：[1]Department of Physics, Nankai University, Tianjin 300071

出　　处：《Chinese Physics Letters》2010年第2期8-11,共4页中国物理快报（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant No 10975076.

摘　　要：Exactly solvable models are important in quantum physics. Usually, there are some underlying quantum dynamical algebras （QDA） inherit in these physical models. For instance, the QDA SU（1, 1） has been revealed in some important one-dimensional exactly solvable potentials, such as the harmonic oscillator, PSsehl-Teller potential, the radial Kratzer molecular potential, etc. However, the case for the one-dimensional Morse potential has not been studied in Ref. . Namely, whether the Morse potential possesses an QDA SU（1, 1） or not is still an open problem.Exactly solvable models are important in quantum physics. Usually, there are some underlying quantum dynamical algebras （QDA） inherit in these physical models. For instance, the QDA SU（1, 1） has been revealed in some important one-dimensional exactly solvable potentials, such as the harmonic oscillator, PSsehl-Teller potential, the radial Kratzer molecular potential, etc. However, the case for the one-dimensional Morse potential has not been studied in Ref. . Namely, whether the Morse potential possesses an QDA SU（1, 1） or not is still an open problem.

分 类 号：O413.1[理学—理论物理] G633.62[理学—物理]