International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2572

Full Length Research Paper

Determination of energy levels of the Klein–Gordon equation, with pseudo harmonic potential plus the ring shaped potential

M. R. Shojaei* and A. A. Rajabi
Physics Department, Shahrood University of ‏Technology, P. O. Box 36155-316 Shahrood, Islamic Republic of Iran.
Email: [email protected]

  •  Accepted: 09 August 2011
  •  Published: 09 December 2011



In the present paper we have found the exact solution of the bound states of Klein–Gordon equation with pseudo harmonic potential plus the ring-shaped potential via Nikiforov–Uvarov method. We have supposed scalar and vector potentials are equal. By special selection the potential is reduced to pseudo harmonic and harmonic oscillator potentials. Finally, we found and plotted the ground state of energy as a function of the coefficients potential.


Key words: Klein–Gordon equation, Nikiforo Uvarov method, rring shaped potential.