摘要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.
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.
ZHANG Ai-Ping;QIANG Wen-Chao;LING Ya-Wen. Approximate Solutions of the Schrödinger Equation for the Eckart Potential and Its Parity-Time-Symmetric Version Including Centrifugal Term[J]. 中国物理快报, 2009, 26(10): 100302-100302.
ZHANG Ai-Ping, QIANG Wen-Chao, LING Ya-Wen. Approximate Solutions of the Schrödinger Equation for the Eckart Potential and Its Parity-Time-Symmetric Version Including Centrifugal Term. Chin. Phys. Lett., 2009, 26(10): 100302-100302.
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2009, Vol. 26 
i/a, the potential is also studied briefly.
i/a, the potential is also studied briefly.