Exact solutions of the radial Schrodinger equation for some physical potentials

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IKHDAİR S., Sever R.

CENTRAL EUROPEAN JOURNAL OF PHYSICS, vol.5, no.4, pp.516-527, 2007 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 5 Issue: 4
  • Publication Date: 2007
  • Doi Number: 10.2478/s11534-007-0022-9
  • Journal Name: CENTRAL EUROPEAN JOURNAL OF PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.516-527
  • Keywords: wavefunction ansatz, pseudoharmonic potential, Kratzer's potential, bound-states, eigenvalues and eigenfunctions, EXACT QUANTIZATION RULE, LARGE-N EXPANSIONS, B-C, RELATIVISTIC KINEMATICS, PERTURBATIVE TREATMENT, SOLVABLE POTENTIALS, DIATOMIC-MOLECULES, QUANTUM-MECHANICS, STATE SOLUTIONS, BOUND-STATES
  • Middle East Technical University Affiliated: Yes

Abstract

By using an ansatz for the eigenfunction, we have obtained the exact analytical solutions of the radial Schrodinger equation for the pseudoharmonic and the Kratzer potentials in two dimensions. The bound-state solutions are easily calculated from this eigenfunction ansatz. The corresponding normalized wavefunctions are also obtained. (C) Versita Warsaw and Springer-Verlag Berlin Heidelberg. All rights reserved.