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Exactly Solvable Effective Massd-Dimensional Schrödinger Equation For Pseudoharmonic And Modified Kratzer Problems

Author

Listed:
  • 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)

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.

Suggested Citation

  • Sameer M. Ikhdair & Ramazan Sever, 2009. "Exactly Solvable Effective Massd-Dimensional Schrödinger Equation For Pseudoharmonic And Modified Kratzer Problems," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 20(03), pages 361-372.
    • Handle: RePEc:wsi:ijmpcx:v:20:y:2009:i:03:n:s0129183109013674
    DOI: 10.1142/S0129183109013674
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    1. anonymous, 1990. "Revision effective January 1, 1990," Federal Reserve Bulletin, Board of Governors of the Federal Reserve System (U.S.), issue Feb, pages 64-67.
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