An Alternative Simple Solution of the Sextic Anharmonic Oscillator and Perturbed Coulomb Problems

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Journal Title, Volume, Page: 
Int. J. Mod. Phys. C 18, 1571
Year of Publication: 
Sameer M Ikhdair
Department of Physics, Near East University Nicosia, North Cyprus, Mersin-10, Turkey
Current Affiliation: 
Department of Physics, An-Najah National University, Nablus, Palestine
Ramazan Sever
Department of Physics, Middle East Technical University 06531 Ankara, Turkey
Preferred Abstract (Original): 
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 in D-dimensions. We show that the perturbed Coulomb problem with eigenvalue E can be transformed to a sextic anharmonic oscillator problem with eigenvalue . 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 with k = D +2ℓ appearing in the wave equation satisfy certain constraints.