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An alternative simple solution of the sextic anharmonic oscillator and perturbed coulomb problems
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Date
2007-10-01
Author
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
Collections
Department of Physics, Article
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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.