An alternative simple solution of the sextic anharmonic oscillator and perturbed coulomb problems

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2007-10-01

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IKHDAİR, SAMEER
Sever, Ramazan

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Utilizing an appropriate ansatz to the wave function, we reproduce the exact bound-state solutions of the radial Schrodinger equation to various exactly solvable sextic an-harmonic 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 P. 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.

Subject Keywords

Mathematical Physics, Computational Theory and Mathematics, General Physics and Astronomy, Statistical and Nonlinear Physics, Computer Science Applications

URI

https://hdl.handle.net/11511/62535

Journal

INTERNATIONAL JOURNAL OF MODERN PHYSICS C

DOI

https://doi.org/10.1142/s0129183107011583

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Department of Physics, Article

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Citation Formats

S. IKHDAİR and R. Sever, “An alternative simple solution of the sextic anharmonic oscillator and perturbed coulomb problems,” INTERNATIONAL JOURNAL OF MODERN PHYSICS C, pp. 1571–1581, 2007, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62535.