Exact solutions of the schrodinger equation with position-dependent effective mass via general point canonical transformation

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Tezcan C., Sever R.

JOURNAL OF MATHEMATICAL CHEMISTRY, vol.42, no.3, pp.387-395, 2007 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 42 Issue: 3
  • Publication Date: 2007
  • Doi Number: 10.1007/s10910-006-9109-6
  • Journal Name: JOURNAL OF MATHEMATICAL CHEMISTRY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.387-395
  • Keywords: position-dependent mass, point canonical transformation, effective mass Schrodinger equation, Rosen-Morse potential, Scarf potential, SUPERSYMMETRIC QUANTUM-MECHANICS, SOLVABLE POTENTIALS, SEMICONDUCTOR THEORY, SERIES SOLUTIONS, SYSTEMS, HETEROJUNCTIONS, ALGEBRAS, STATES
  • Middle East Technical University Affiliated: No

Abstract

Exact solutions of the Schrodinger equation are obtained for the Rosen-Morse and Scarf potentials with the position-dependent effective mass by appliying a general point canonical transformation. The general form of the point canonical transformation is introduced by using a free parameter. Two different forms of mass distributions are used. A set of the energy eigenvalues of the bound states and corresponding wave functions for target potentials are obtained as a function of the free parameter.