A new approach to the exact solutions of the effective mass Schrodinger equation


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TEZCAN C., Sever R., Yesiltas O.

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, vol.47, no.6, pp.1713-1721, 2008 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 47 Issue: 6
  • Publication Date: 2008
  • Doi Number: 10.1007/s10773-007-9613-x
  • Journal Name: INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.1713-1721
  • Keywords: position-dependent mass, effective mass Schrodinger equation, Morse potential, Nikiforov-Uvarov method, POSITION-DEPENDENT MASS, LIE ALGEBRAIC APPROACH, QUANTUM-SYSTEMS, POTENTIALS

Abstract

Effective mass Schrodinger equation is solved exactly for a given potential. Nikiforov-Uvarov method is used to obtain energy eigenvalues and the corresponding wave functions. A free parameter is used in the transformation of the wave function. The effective mass Schrodinger equation is also solved for the Morse potential transforming to the constant mass Schrodinger equation for a potential. One can also get solution of the effective mass Schrodinger equation starting from the constant mass Schrodinger equation.