| Exact solutions of the Klein—Gordon equation with ring-shaped oscillator potential by using the Laplace integral transform |
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| 引用本文： | Sami Ortakaya. Exact solutions of the Klein—Gordon equation with ring-shaped oscillator potential by using the Laplace integral transform[J]. 中国物理 B, 2012, 21(7): 70303-070303. DOI: 10.1088/1674-1056/21/7/070303 |
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| 作者姓名： | Sami Ortakaya |
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| 作者单位： | Institute of Natural and Applied Sciences, Erciyes University |
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| 摘 要： | We present exact solutions for the Klein-Gordon equation with a ring-shaped oscillator potential. The energy eigenvalues and the normalized wave functions are obtained for a particle in the presence of non-central oscillator potential. The angular functions are expressed in terms of the hypergeometric functions. The radial eigenfunctions have been obtained by using the Laplace integral transform. By means of the Laplace transform method, which is efficient and simple, the radial Klein-Gordon equation is reduced to a first-order differential equation.
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| 关 键 词： | ring-shaped oscillator Klein–Gordon equation Laplace integral transform bound states |
| 收稿时间： | 2011-11-29 |
Exact solutions of the Klein-Gordon equation with ring-shaped oscillator potential by using the Laplace integral transform |
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| Sami Ortakaya. Exact solutions of the Klein-Gordon equation with ring-shaped oscillator potential by using the Laplace integral transform[J]. Chinese Physics B, 2012, 21(7): 70303-070303. DOI: 10.1088/1674-1056/21/7/070303 |
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| Authors: | Sami Ortakaya |
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| Affiliation: | Institute of Natural and Applied Sciences, Erciyes University, 38039 Kayseri, Turkey |
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| Abstract: | We present exact solutions for the Klein--Gordon equation with a ring-shaped oscillator potential. The energy eigenvalues and the normalized wave functions are obtained for a particle in the presence of non-central oscillator potential. The angular functions are expressed in terms of the hypergeometric functions. The radial eigenfunctions have been obtained by using the Laplace integral transform. By means of the Laplace transform method, which is efficient and simple, the radial Klein--Gordon equation is reduced to a first-order differential equation. |
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| Keywords: | ring-shaped oscillator Klein--Gordon equation Laplace integral transform bound states |
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