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

Wen-Wei Lin*, Shih Feng Shieh

*Corresponding author for this work

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)576-584
Number of pages9
JournalJournal of Mathematical Physics
Volume45
Issue number2
DOIs
StatePublished - 1 Feb 2004

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