EXACTLY SOLVABLE EFFECTIVE MASS D-DIMENSIONAL SCHRODINGER EQUATION FOR PSEUDOHARMONIC AND MODIFIED KRATZER PROBLEMS


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IKHDAİR S., Sever R.

INTERNATIONAL JOURNAL OF MODERN PHYSICS C, vol.20, no.3, pp.361-372, 2009 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 20 Issue: 3
  • Publication Date: 2009
  • Doi Number: 10.1142/s0129183109013674
  • Title of Journal : INTERNATIONAL JOURNAL OF MODERN PHYSICS C
  • Page Numbers: pp.361-372
  • Keywords: Bound states, point canonical transformation method, position dependent mass distribution, pseudoharmonic potential, modified Kratzer-type potential, KLEIN-GORDON EQUATION, B-C MESON, BOUND-STATES, QUANTUM-SYSTEMS, EQUAL SCALAR, EXPANSION, VECTOR, SPECTROSCOPY, POTENTIALS, PARTICLE

Abstract

The point canonical transformation (PCT) approach is used to solve the Schrodinger equation for an arbitrary dimension D with a power-law position-dependent effective mass (PDEM) distribution function for the pseudoharmonic and modified Kratzer (Mie-type) diatomic molecular potentials. In mapping the transformed exactly solvable D-dimensional (D >= 2) Schrodinger equation with constant mass into the effective mass equation by using a proper transformation, the exact bound state solutions including the energy eigenvalues and corresponding wave functions are derived. The well-known pseudoharmonic and modified Kratzer exact eigenstates of various dimensionality is manifested.