Series solutions of the Schrödinger equation with position-dependent mass for the Morse potential

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Abstract

The analytical solutions of the Schrödinger equation with position-dependent mass for the Morse potential are obtained by the series expansion method. The Morse potential and the position-dependent mass themselves are expanded in the series about the origin. As an example, the analytical series solutions of the Morse potential with the position-dependent mass m=m0eλr are given.

Original languageEnglish
Pages (from-to)290-297
Number of pages8
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume322
Issue number5-6
DOIs
StatePublished - 8 Mar 2004
Externally publishedYes

Keywords

  • Morse potential
  • Position-dependent mass
  • Series expansion method

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