Mass and potential duality explored via a position-dependent mass quantum approach

Ihab H. Naeim, S. Abdalla, J. Batle, A. Farouk

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

The approximation made to quantum systems where a particle possesses an effective mass that depends on the position is relevant to many state-of-the-art compounds, which have been extremely useful in tailoring different quantum physical properties, specially in the field of semiconductors. The approach of a position-dependent mass has proved to be a very effective one in those cases where quantum wells emerge either in one or two dimensions. In the present work we discuss the interplay between m(x) versus the action potential V (x) in the Schrödinger equation, the presence of the one excluding the other. As an application, both approaches are compared in the benzene molecule.

Original languageEnglish
Article number121
JournalRomanian Journal of Physics
Volume62
Issue number9-10
Publication statusPublished - 2017
Externally publishedYes

Keywords

  • Mass distribution and potential duality
  • Position-dependent mass

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