Approximate analytical solution of continuous states for the l-wave Schrödinger equation with a diatomic molecule potential |
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Authors: | Gao-Feng Wei Wen-Chao Qiang Wen-Li Chen |
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Institution: | 1. Department of Physics, Xi’an University of Arts and Science, Xi’an, 710065, People’s Republic of China 2. Faculty of Science, Xi’an University of Architecture and Technology, Xi’an, 710055, People’s Republic of China
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Abstract: | The continuous states of the l-wave Schrödinger equation for the diatomic molecule represented by the hyperbolical function potential are carried out by a proper approximation scheme to the centrifugal term. The normalized analytical radial wave functions of the l-wave Schrödinger equation for the hyperbolical function potential are presented and the corresponding calculation formula of phase shifts is derived. Also, we interestingly obtain the corresponding bound state energy levels by analyzing analytical properties of scattering amplitude. |
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