Title of article
A model for the computation of quantum billiards with arbitrary shapes
Author/Authors
Erhan، نويسنده , , ?nci M. and Ta?eli، نويسنده , , H.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2006
Pages
18
From page
227
To page
244
Abstract
An expansion method for the stationary Schrِdinger 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.
Keywords
Schrِdinger equation , Eigenfunction expansion , Quantum billiard , Bessel functions , spherical harmonics
Journal title
Journal of Computational and Applied Mathematics
Serial Year
2006
Journal title
Journal of Computational and Applied Mathematics
Record number
1553408
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