文献类型：期刊文献

英文题名：Analytic quantum mechanics of diatomic molecules with empirical potentials

作者：Lu, Jun[1]

通讯作者：Lu, J[1]

机构：[1]Beijing Union Univ, Coll Arts & Sci, Beijing 100083, Peoples R China

第一机构：北京联合大学应用文理学院

通讯机构：[1]corresponding author), Beijing Union Univ, Coll Arts & Sci, Beijing 100083, Peoples R China.|[114172]北京联合大学应用文理学院;[11417]北京联合大学;

年份：2005

卷号：72

期号：5

起止页码：349-352

外文期刊名：PHYSICA SCRIPTA

收录：;EI(收录号：2005489517616);Scopus(收录号：2-s2.0-27944481223);WOS:【SCI-EXPANDED(收录号:WOS:000233602200002)】；

语种：英文

外文关键词：Functions - Matrix algebra - Molecules - Nonlinear equations - Polynomial approximation - Problem solving

摘要：The Schrodinger equations of diatomic molecules with empirical potential functions are solved approximatcely by means of the hypergeometric series method. The potential functions may fit the experimental Rydber-Klein-Rees curve more closely than the Morse function. Rigorous solutions of Schrodinger equations are also obtained with a similar method for zero total angular momentum. The eigenfunctions of diatomic molecules, expressed in terms of Jacobi polynomial. are employed as the orthonormal basis sets, and analytic expressions of matrix elements for the position and momentum operators are given in closed form.