Exact solutions of the Schrödinger equation with non-central potential by the Nikiforov–Uvarov method
Exact solutions of the Schrödinger equation with non-central potential by the Nikiforov–Uvarov method
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DOI：
10.1088/0305-4470/38/29/012
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发表时间：
2004-10
期刊：
影响因子：
--
通讯作者：
F. Yasuk;C. Berkdemir;A. Berkdemir
中科院分区：
文献类型：
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作者：
F. Yasuk;C. Berkdemir;A. Berkdemir
非中心势薛定谔方程的通解是通过使用 Nikiforov-Uvarov 方法获得的。将具有一般非中心势的薛定谔方程分为径向部分和角度部分，并解析导出能量特征值和特征函数。通过特殊选择，将非中心势简化为库仑和哈特曼环形势，并将所得结果与文献中给出的库仑和哈特曼势的解进行比较。
The general solutions of the Schrodinger equation for a non-central potential are obtained by using the Nikiforov–Uvarov method. The Schrodinger equation with general non-central potential is separated into radial and angular parts, and energy eigenvalues and eigenfunctions are derived analytically. By making special selections, the non-central potential is reduced to Coulomb and Hartmann ring-shaped potentials, and the obtained results are compared with the solutions of Coulomb and Hartmann potentials given in the literature.