Eigenvalues and Eigenfunctions in a Cantor-like Potential

摘要：

We study the so called Cantor-like potential, probably one of the closest potential we can imagine as selfsimilar. The numerical calculation was carried out for the effective mass equation miming a GaAs-AlGaAs heterostructure made by following a Cantor algorithm. We show that the first eigenfunctions exhibit in a great extend a selfsimilar aspect. Another main result is that a fractal dimension is found for the spectrum. This can be seen as a demonstration that this kind of potentials have this peculiarity. It is reasonable to think that other similar potential show this property.

作者: L.M.Gaggero-Sager E.Pujals D.S.Díaz-Guerrero

作者单位: Facultad de Ciencias,Universidad Autónoma del Estado de Morelos Ave.Universidad 1001,Cuernavaca,More Instituto de Matemática Pura e Aplicada - IMPA Dona Castorina 110,Rio de Janeiro,Brasil

会议类型: 国际会议

会议名称: Progress in Electromagnetics Research Symposium 2009(2009年电磁学研究新进展学术研讨会)(PIERS 2009)

会议地点: 北京

会议语种:英文

页码: 1181-1185

在线出版日期: 2009-03-23（万方平台首次上网日期，不代表论文的发表时间）