A model for the computation of quantum billiards with arbitrary shapes

Date

2006-10-01

Author

Erhan, Inci M.
Taşeli, Hasan

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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.

Subject Keywords

Applied Mathematics, Computational Mathematics

URI

https://hdl.handle.net/11511/36901

Journal

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

DOI

https://doi.org/10.1016/j.cam.2005.07.006

Collections

Department of Mathematics, Article

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Citation Formats

I. M. Erhan and H. Taşeli, “A model for the computation of quantum billiards with arbitrary shapes,” JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, pp. 227–244, 2006, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/36901.