Analytical solution to position dependent mass Schrödinger equation

Pankaj K. Jha, Hichem Eleuch, Yuri V. Rostovtsev

Research output: Contribution to journalArticlepeer-review

34 Scopus citations

Abstract

Using a recently developed technique to solve the Schrödinger equation for constant mass, we have studied the regime in which the mass varies with position, i.e. the position-dependent mass Schrödinger equation (PDMSE). We obtained an analytical solution for the PDMSE and applied our approach to study a position dependent mass m(x) particle scattered by a potential ν(x). We have also studied the structural analogy between the PDMSE and the two-level atomic system interacting with a classical field.

Original languageEnglish (US)
Pages (from-to)652-656
Number of pages5
JournalJournal of Modern Optics
Volume58
Issue number8
DOIs
StatePublished - May 10 2011
Externally publishedYes

Keywords

  • Position dependent mass
  • Riccati equation
  • Rotating wave approximation
  • Scattering
  • Two-level system

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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