A model for the computation of quantum billiards with arbitrary shapes


Erhan I. M. , Taseli H.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, cilt.194, sa.2, ss.227-244, 2006 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 194 Konu: 2
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1016/j.cam.2005.07.006
  • Dergi Adı: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
  • Sayfa Sayıları: ss.227-244

Özet

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.