dorsal/arxiv
View SchemaExact analytical solution to the relativistic Klein-Gordon equation with non-central equal scalar and vector potentials
| Authors | Fevziye Yasuk, Aysen Durmus, Ismail Boztosun |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0606224 |
| URL | https://arxiv.org/abs/quant-ph/0606224 |
| DOI | 10.1063/1.2227258 |
| Journal | Journal of Mathematical Physics 47, 082302 (2006) |
Abstract
We present an alternative and simple method for the exact solution of the Klein-Gordon equation in the presence of the non-central equal scalar and vector potentials by using Nikiforov-Uvarov (NU) method. The exact bound state energy eigenvalues and corresponding eigenfunctions are obtained for a particle bound in a potential of $V(r,\theta) = \frac{\alpha}{r} + \frac{\beta}{r^2\sin ^2\theta} + \gamma \frac{\cos \theta}{r^2\sin ^2\theta}$ type.
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"abstract": "We present an alternative and simple method for the exact solution of the\nKlein-Gordon equation in the presence of the non-central equal scalar and\nvector potentials by using Nikiforov-Uvarov (NU) method. The exact bound state\nenergy eigenvalues and corresponding eigenfunctions are obtained for a particle\nbound in a potential of $V(r,\\theta) = \\frac{\\alpha}{r} + \\frac{\\beta}{r^2\\sin\n^2\\theta} + \\gamma \\frac{\\cos \\theta}{r^2\\sin ^2\\theta}$ type.",
"arxiv_id": "quant-ph/0606224",
"authors": [
"Fevziye Yasuk",
"Aysen Durmus",
"Ismail Boztosun"
],
"categories": [
"quant-ph",
"math-ph",
"math.MP"
],
"doi": "10.1063/1.2227258",
"journal_ref": "Journal of Mathematical Physics 47, 082302 (2006)",
"title": "Exact analytical solution to the relativistic Klein-Gordon equation with non-central equal scalar and vector potentials",
"url": "https://arxiv.org/abs/quant-ph/0606224"
},
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