Vibration of Diatomic System in One-dimensional Nanomaterials

被引：0

作者：

Lu Jun ^{[1
]}

机构：

[1] Beijing Union Univ, Dept Foundat Sci, Beijing 100101, Peoples R China

来源：

RECENT TRENDS IN MATERIALS AND MECHANICAL ENGINEERING MATERIALS, MECHATRONICS AND AUTOMATION, PTS 1-3 | 2011年 / 55-57卷

关键词：

diatomic system; one-dimensional nanomaterial; vibration; matrix element; MORSE OSCILLATOR; MECHANICS; MODES;

D O I：

10.4028/www.scientific.net/AMM.55-57.545

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

By means of the hypergeometric series method, the explicit expressions of energy eigenvalues and eigenfunctions of bound states for a diatomic system with a hyperbolic potential function are obtained in the one-dimensional nanomaterials. The eigenfunctions of a one-dimensional diatomic system, 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.

引用

页码：545 / 549

页数：5