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Journal of Mathematical Chemistry

, Volume 50, Issue 6, pp 1484–1494 | Cite as

Non-central potentials, exact solutions and Laplace transform approach

  • Altuğ Arda
  • Ramazan Sever
Original Paper

Abstract

Exact bound state solutions and the corresponding wave functions of the Schrödinger equation for some non-central potentials including Makarov potential, modified-Kratzer plus a ring-shaped potential, double ring-shaped Kratzer potential, modified non-central potential and ring-shaped non-spherical oscillator potential are obtained by using the Laplace transform approach. The energy spectrums of the Hartmann potential, modified-Kratzer potential and ring-shaped oscillator potential are also briefly studied as special cases. It is seen that our analytical results for all these potentials are consistent with those obtained by other works. We also give some numerical results obtained for the modified non-central potential for different values of the related quantum numbers.

Keywords

Exact solution Laplace transform Non-central potential Schrödinger equation 

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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.Department of Physics EducationHacettepe UniversityAnkaraTurkey
  2. 2.Department of PhysicsMiddle East Technical UniversityAnkaraTurkey

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