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Approximate Solutions of the Schrödinger Equation for the Eckart Potential and Its Parity-Time-Symmetric Version Including Centrifugal Term |
| ZHANG Ai-Ping, QIANG Wen-Chao, LING Ya-Wen |
| Faculty of Science, Xi'an University of Architecture and Technology, Xi'an 710055 |
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| Cite this article: |
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ZHANG Ai-Ping, QIANG Wen-Chao, LING Ya-Wen 2009 Chin. Phys. Lett. 26 100302 |
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Abstract The energy eigenvalues and eigenfunctions of the Schrödinger equation for Eckart potential as well as the parity-time-symmetric version of the potential in three dimensions with the centrifugal term are investigated approximately by using the Nikiforov-Uvarov method. To show the accuracy of our results, we calculate the energy eigenvalues for various values of n and l. It is found that the results are in good agreement with the numerical solutions for short-range potential (large a). For the case of 1/a  i/a, the potential is also studied briefly.
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| Keywords:
03.65.Ge
03.65.-w
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Received: 03 June 2009
Published: 27 September 2009
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| PACS: |
03.65.Ge
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(Solutions of wave equations: bound states)
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03.65.-w
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(Quantum mechanics)
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