A General Approach for the Exact Solution of the Schrodinger Equation

Creative Commons License

TEZCAN C., Sever R.

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, vol.48, no.2, pp.337-350, 2009 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 48 Issue: 2
  • Publication Date: 2009
  • Doi Number: 10.1007/s10773-008-9806-y
  • Journal Name: INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.337-350
  • Keywords: Generalized Morse potential, Rosen-Morse potential, Pseudoharmonic potential, Mie potential, Woods-Saxon potential, Kratzer-Fues potential, Non-central potential, HAMILTONIAN HIERARCHY METHOD, LARGE-N-EXPANSION, BETHE-SALPETER-EQUATION, EXACT QUANTIZATION RULE, NIKIFOROV-UVAROV METHOD, PATH-INTEGRAL SOLUTION, B-C MESON, NONCENTRAL POTENTIALS, 1/N EXPANSION, SUPERSYMMETRIC SOLUTIONS
  • Middle East Technical University Affiliated: Yes

Abstract

The Schrodinger equation is solved exactly for some well known potentials. Solutions are obtained reducing the Schrodinger equation into a second order differential equation by using an appropriate coordinate transformation. The Nikiforov-Uvarov method is used in the calculations to get energy eigenvalues and the corresponding wave functions.