EXACTLY SOLVABLE EFFECTIVE MASSD-DIMENSIONAL SCHRÖDINGER EQUATION FOR PSEUDOHARMONIC AND MODIFIED KRATZER PROBLEMS

Sameer M. Ikhdair () and Ramazan Sever ()
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Sameer M. Ikhdair: Department of Physics, Near East University, Nicosia, North Cyprus, Turkey
Ramazan Sever: Department of Physics, Middle East Technical University, 06800, Ankara, Turkey

International Journal of Modern Physics C (IJMPC), 2009, vol. 20, issue 03, 361-372

Abstract: The point canonical transformation (PCT) approach is used to solve the Schrödinger equation for an arbitrary dimensionDwith 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 solvableD-dimensional(D ≥ 2)Schrödinger 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.

Keywords: Bound states; point canonical transformation method; position dependent mass distribution; pseudoharmonic potential; modified Kratzer-type potential; 03.65.-w (search for similar items in EconPapers)
Date: 2009
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DOI: 10.1142/S0129183109013674

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