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Foundations of Physics

, Volume 23, Issue 5, pp 851–856 | Cite as

Classification of exactly solvable potential problems

  • Haluk Beker
Part IV. Invited Papers Dedicated To Asim Orhan Barut

Abstract

A differential equation with a known solution is transformed by changing both its dependent and independent variables, and the resulting nonlinear differential equation is then compared with the Schrödinger equation. The method is demonstrated using the confluent hypergeometric differential equation and the solutions to hydrogen, SHO and l=0 Morse potential problems are obtained.

Keywords

Hydrogen Differential Equation Potential Problem Nonlinear Differential Equation Hypergeometric Differential Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    A. O. Barut and H. Beker,Phys. Rev. Lett. 50, 1560–1562 (1983).Google Scholar
  2. 2.
    A. O. Barut, H. Beker, and D. Dibekçi,J. Boğaziçi Univ. 8–9, 11–33 (1980–81).Google Scholar
  3. 3.
    G. Birkhoff and G. Rota,Ordinary Differential Equations (Ginn, Boston, 1962).Google Scholar

Copyright information

© Plenum Publishing Corporation 1993

Authors and Affiliations

  • Haluk Beker
    • 1
  1. 1.Department of PhysicsBoğaziçi UniversityIstanbulTurkey

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