Paper Title:
Vibration of Diatomic System in One-Dimensional Nanomaterials
  Abstract

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.

  Info
Periodical
Edited by
Qi Luo
Pages
545-549
DOI
10.4028/www.scientific.net/AMM.55-57.545
Citation
J. Lu, "Vibration of Diatomic System in One-Dimensional Nanomaterials", Applied Mechanics and Materials, Vols. 55-57, pp. 545-549, 2011
Online since
May 2011
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