Eigenvalue problems of a two-dimensional Schrödinger operator with nonparabolic effective mass

Wen-Wei Lin; Shih Feng Shieh

doi:10.1063/1.1641151

Eigenvalue problems of a two-dimensional Schrödinger operator with nonparabolic effective mass

Wen-Wei Lin^*, Shih Feng Shieh

^*Corresponding author for this work

Department of Applied Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

In this paper, we study the eigenvalue problem for the Schrödinger operator on a two dimensional disk with nonparabolic effective mass approximation. Here the effective mass depends on the energy states. Our results mainly concern with the number of energy states lying in a wire and the monotonicity of energy states with respect to the depth of the wire.

Original language	English
Pages (from-to)	576-584
Number of pages	9
Journal	Journal of Mathematical Physics
Volume	45
Issue number	2
DOIs	https://doi.org/10.1063/1.1641151
State	Published - 1 Feb 2004

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title = "Eigenvalue problems of a two-dimensional Schr{\"o}dinger operator with nonparabolic effective mass",

abstract = "In this paper, we study the eigenvalue problem for the Schr{\"o}dinger operator on a two dimensional disk with nonparabolic effective mass approximation. Here the effective mass depends on the energy states. Our results mainly concern with the number of energy states lying in a wire and the monotonicity of energy states with respect to the depth of the wire.",

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