全部 标题 作者
关键词 摘要

Physics  2010 

Remarks on the Solution of the Position Dependent Mass (PDM) Schr?dinger Equation

DOI: 10.1088/1751-8113/43/45/455203

Full-Text   Cite this paper   Add to My Lib

Abstract:

An approximate method is proposed to solve position dependent mass Schr\"odinger equation. The procedure suggested here leads to the solution of the PDM Schr\"odinger equation without transforming the potential function to the mass space or vice verse. The method based on asymptotic Taylor expansion of the function, produces an approximate analytical expression for eigenfunction and numerical results for eigenvalues of the PDM Schr\"odinger equation. The results show that PDM and constant mass Schr\"odinger equations are not isospectral. The calculations are carried out with the aid of a computer system of symbolic or numerical calculation by constructing a simple algorithm.

Full-Text

comments powered by Disqus