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On the solutions of the position-dependent effective mass Schrödinger equation of a nonlinear oscillator related with the isotonic oscillator

Journal of Physics A: Mathematical and Theoretical, ISSN: 1751-8113, Vol: 42, Issue: 41
2009
  • 26
    Citations
  • 0
    Usage
  • 4
    Captures
  • 0
    Mentions
  • 0
    Social Media
Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    26
    • Citation Indexes
      26
  • Captures
    4

Article Description

We study exact solutions of the position-dependent effective mass Schrödinger equation by considering the new solvable nonlinear oscillator that relates to the isotonic oscillator through the method of point canonical transformations. We construct exactly solvable potentials by choosing physically important position-dependent mass distributions. We also provide the energy spectrum of the bound states and the wavefunctions of the solvable potentials. © 2009 IOP Publishing Ltd.

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