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Keywords:

  • Schrödinger equation;
  • D-dimensional space;
  • Hua potential;
  • finite difference method;
  • supersymmetry quantum mechanics method

Abstract

We solve the D-dimensional Schrödinger equation under the Hua potential by using a Pekeris-type approximation and the supersymmetry quantum mechanics. The reliability of the spectrum is checked via a comparison with the finite difference method. This interaction resembles Eckart, Morse, and Manning–Rosen potentials. Some useful quantities are reported via the Hellmann–Feynman Theorem. © 2012 Wiley Periodicals, Inc.