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Journal of Mathematical Physics / Volume 52 / Issue 12 / ARTICLES / Quantum Mechanics (General and Nonrelativistic)

J. Math. Phys. 52, 122107 (2011); http://dx.doi.org/10.1063/1.3671966 (8 pages)

Prepotential approach to solvable rational extensions of Harmonic Oscillator and Morse potentials

C.-L. Ho

Department of Physics, Tamkang University, Tamsui 251, Taiwan

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(Received 15 June 2011; accepted 2 December 2011; published online 30 December 2011)

We show how the recently discovered solvable rational extensions of Harmonic Oscillator and Morse potentials can be constructed in a direct and systematic way, without the need of supersymmetry, shape invariance, Darboux-Crum, and Darboux-Bäcklund transformations.

© 2011 American Institute of Physics

Article Outline

  1. INTRODUCTION
  2. PREPOTENTIAL APPROACH
  3. HARMONIC OSCILLATOR
  4. MORSE POTENTIAL
  5. SUMMARY

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KEYWORDS and PACS

Keywords

harmonic oscillators, Morse potential

PACS

  • 03.65.Ge

    Solutions of wave equations: bound states

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.3671966

PUBLICATION DATA

ISSN

0022-2488 (print)  
1089-7658 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

For access to fully linked references, you need to log in.
    D. Dutta and P. Roy, J. Math. Phys. 51, 042101 (2010)JMAPAQ000051000004042101000001.



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