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Bound and Resonant States of the Hulthén Potential Investigated by Using the Complex Scaling Method with the Oscillator Basis |
| FENG Jun-Sheng1**, LIU Zheng2, GUO Jian-You3
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1Department of Physics and Electronic Engineering, Hefei Normal University, Hefei 230061
2State Key Laboratory of Functional Materials for Informatics, Shanghai Institute of Microsystem and Information Technology, Chinese Academy of Sciences, Shanghai 200050
3School of Physics and Materials Science, Anhui University, Hefei 230039
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| Cite this article: |
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FENG Jun-Sheng, LIU Zheng, GUO Jian-You 2010 Chin. Phys. Lett. 27 110304 |
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Abstract Bound and resonant states of the Hulthén potential are studied. The complex scaling method is used to achieve the energy spectrum. The oscillator basis is used to expand the radial wave function. Conforming to the standard feature of the complex scaling method, the bound energies do not change and the continuums change with the rotational angle. With tables and graphs, the interesting properties of the energy spectrum for various physical parameters are presented. The Gauss quadrature integral approximation is used to deal with the potential integral term.
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| Keywords:
03.65.Pm
02.60.Lj
25.70.Ef
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Received: 10 August 2010
Published: 22 October 2010
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| PACS: |
03.65.Pm
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(Relativistic wave equations)
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02.60.Lj
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(Ordinary and partial differential equations; boundary value problems)
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25.70.Ef
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(Resonances)
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