dorsal/arxiv
View SchemaAn alternative simple solution of the sextic anharmonic oscillator and perturbed Coulomb problems
| Authors | Sameer M. Ikhdair |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0702235 |
| URL | https://arxiv.org/abs/quant-ph/0702235 |
| DOI | 10.1142/S0129183107011583 |
| Journal | Int. J. Mod. Phys. C 18, 1571(2007) |
Abstract
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 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 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 with $k=D+2\ell $ appearing in the wave equation satisfy certain constraints.
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"abstract": "Utilizing an appropriate ansatz to the wave function, we reproduce the exact\nbound-state solutions of the radial Schrodinger equation to various exactly\nsolvable sextic anharmonic oscillator and confining perturbed Coulomb models in\n$D$-dimensions. We show that the perturbed Coulomb problem with eigenvalue $E$\ncan be transformed to a sextic anharmonic oscillator problem with eigenvalue E.\nWe also check the explicit relevance of these two related problems in\nhigher-space dimensions. It is shown that exact solutions of these potentials\nexist when their coupling parameters with $k=D+2\\ell $ appearing in the wave\nequation satisfy certain constraints.",
"arxiv_id": "quant-ph/0702235",
"authors": [
"Sameer M. Ikhdair"
],
"categories": [
"quant-ph"
],
"doi": "10.1142/S0129183107011583",
"journal_ref": "Int. J. Mod. Phys. C 18, 1571(2007)",
"title": "An alternative simple solution of the sextic anharmonic oscillator and perturbed Coulomb problems",
"url": "https://arxiv.org/abs/quant-ph/0702235"
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