中国物理B ›› 2005, Vol. 14 ›› Issue (12): 2402-2406.doi: 10.1088/1009-1963/14/12/005
陆军, 钱卉仙, 李良梅, 柳凤伶
Lu Jun (陆军), Qian Hui-Xian (钱卉仙), Li Liang-Mei (李良梅), Liu Feng-Ling (柳凤伶)
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.
中图分类号: (Solutions of wave equations: bound states)