Abstract 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.
Received: 22 April 2005
Revised: 09 August 2005
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China (Grant No 90403028).
Cite this article:
Lu Jun (陆军), Qian Hui-Xian (钱卉仙), Li Liang-Mei (李良梅), Liu Feng-Ling (柳凤伶) Rotation and vibration of diatomic molecule oscillator with hyperbolic potential function 2005 Chinese Physics 14 2402
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
