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

Wen Wei Lin, Shih Feng Shieh

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1 Citation (Scopus)


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
Issue number2
Publication statusPublished - 2004 Feb 1


ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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