Analytical solution of the Schrodinger equation for Makarov potential with any l angular momentum

Bayrak O., Karakoc M., Boztosun I., Sever R.

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, vol.47, no.11, pp.3005-3014, 2008 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 47 Issue: 11
  • Publication Date: 2008
  • Doi Number: 10.1007/s10773-008-9735-9
  • Journal Name: INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.3005-3014
  • Keywords: non-central potential, analytical solution, ring shaped Hartmann potential, ASYMPTOTIC ITERATION METHOD, PATH-INTEGRAL SOLUTION, NIKIFOROV-UVAROV METHOD, EIGENVALUE PROBLEMS, RING, MOTION, PLUS, PARTICLE, SCALAR, DIRAC
  • Middle East Technical University Affiliated: Yes

Abstract

We present the analytical solution of the Schrodinger Equation for the Makarov potential within the framework of the asymptotic iteration method for any n and l quantum numbers. Energy eigenvalues and the corresponding wave functions are calculated. We also obtain the same results for the ring shaped Hartmann potential which is the special form of the non-central Makarov potential.