A model for the computation of quantum billiards with arbitrary shapes

Erhan, Inci; Taseli, HASAN

doi:10.1016/j.cam.2005.07.006

A model for the computation of quantum billiards with arbitrary shapes

Atıf İçin Kopyala

Erhan I. M., Taseli H.

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

Yayın Türü: Makale / Tam Makale
Cilt numarası: 194 Sayı: 2
Basım Tarihi: 2006
Doi Numarası: 10.1016/j.cam.2005.07.006
Dergi Adı: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.227-244
Orta Doğu Teknik Üniversitesi Adresli: Evet

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.