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An Alternative Simple Solution Of The Sextic Anharmonic Oscillator And Perturbed Coulomb Problems

Author

Listed:
  • SAMEER M. IKHDAIR

    (Department of Physics, Near East University, Nicosia, North Cyprus, Mersin-10, Turkey)

  • RAMAZAN SEVER

    (Department of Physics, Middle East Technical University, 06531 Ankara, Turkey)

Abstract

Utilizing an appropriate ansatz to the wave function, we reproduce the exact bound-state solutions of the radial Schrödinger equation to various exactly solvable sextic anharmonic oscillator and confining perturbed Coulomb models inD-dimensions. We show that the perturbed Coulomb problem with eigenvalueEcan be transformed to a sextic anharmonic oscillator problem with eigenvalue$\hat E$. We also check the explicit relevance of these two related problems in higher-space dimensions. It is shown that exact solutions of these potentials exist when their coupling parameters withk = D +2ℓappearing in the wave equation satisfy certain constraints.

Suggested Citation

  • Sameer M. Ikhdair & Ramazan Sever, 2007. "An Alternative Simple Solution Of The Sextic Anharmonic Oscillator And Perturbed Coulomb Problems," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 18(10), pages 1571-1581.
    • Handle: RePEc:wsi:ijmpcx:v:18:y:2007:i:10:n:s0129183107011583
    DOI: 10.1142/S0129183107011583
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