Article ID Journal Published Year Pages File Type
4643010 Journal of Computational and Applied Mathematics 2006 18 Pages PDF
Abstract

An expansion method for the stationary Schrödinger 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.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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