A model for the computation of quantum billiards with arbitrary shapes

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:194

Article

Erhan, Inci M. ; Taseli, H.

关键词: quantum billiard;    eigenfunction expansion;    Schrodinger equation;    spherical harmonics;    Bessel functions;   

DOI  :  10.1016/j.cam.2005.07.006

来源: Elsevier

【 摘 要 】

An expansion method for the stationary Schrodinger equation of a three-dimensional quantum billiard system whose boundary is defined by an arbitrary analytic function is introduced. The method is based on a coordinate transformation and an expansion in spherical harmonics. The effectiveness is verified and confirmed by a numerical example, which is a billiard system depending on a parameter. (c) 2005 Elsevier B.V. All rights reserved.

【 授权许可】

Free