Rotation and vibration of diatomic molecule oscillator with hyperbolic potential function

• 来源期刊: 中国物理(英文版)
• 关键词: diatomic molecule hyperbolic potential matrix elements
• 年，卷（期）: 2005,（12）
• 页码范围: 2402-2406
• 页数: 5页
• 语种: 英文

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.