Rotation and vibration of diatomic molecule oscillator with hyperbolic potential function  

作　　者：陆军 钱卉仙 李良梅 柳凤伶 

机构地区：[1]College of Arts and Sciences of Beijing Union University, Beijing 100083, China

出　　处：《Chinese Physics B》2005年第12期2402-2406,共5页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China （Grant No 90403028）.

摘　　要：The explicit expressions of energy eigenvalues and eigenfunctions of bound states for a three-dimensional diatomic molecule oscillator with a hyperbolic potential function are obtained approximately by means of the hypergeometric series method. Then for a one-dimensional system, the rigorous solutions of bound states are solved with a similar method. The eigenfunctions of a one-dimensional diatomic molecule oscillator, expressed in terms of the Jacobi polynomial, are employed as an orthonormal basis set, and the analytic expressions of matrix elements for position and momentum operators are given in a closed form.The explicit expressions of energy eigenvalues and eigenfunctions of bound states for a three-dimensional diatomic molecule oscillator with a hyperbolic potential function are obtained approximately by means of the hypergeometric series method. Then for a one-dimensional system, the rigorous solutions of bound states are solved with a similar method. The eigenfunctions of a one-dimensional diatomic molecule oscillator, expressed in terms of the Jacobi polynomial, are employed as an orthonormal basis set, and the analytic expressions of matrix elements for position and momentum operators are given in a closed form.

关 键 词：diatomic molecule hyperbolic potential matrix elements 

分 类 号：TN752[电子电信—电路与系统]