AN ALTERNATIVE SIMPLE SOLUTION OF THE SEXTIC ANHARMONIC OSCILLATOR AND PERTURBED COULOMB PROBLEMS

Sameer M. Ikhdair () and Ramazan Sever ()
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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

International Journal of Modern Physics C (IJMPC), 2007, vol. 18, issue 10, 1571-1581

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.

Keywords: Sextic anharmonic oscillator problem; perturbed Coulomb problem; bound states; wave functions; Schrödinger equation; 03.65.-w; 03.65.Fd; 03.65.Ge (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1142/S0129183107011583

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