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arXiv quant-ph/0703042quant-ph
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用Nikiforov-Uvarov方法求D维Schrodinger方程中赝库仑势加环形势的精确解

Exact solutions of the pseudo-Coulomb potential plus ring-shaped potential in the D-dimensional Schrodinger equation by the Nikiforov-Uvarov method

Sameer M. Ikhdair, Ramazan Sever

备注：
15 pages
发表信息：
Chinese J. Phys. 46, 291(2008)
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摘要：

本文利用Nikiforov-Uvarov方法，对另一种常用的伪库仑势加环形势$V(r)=-% \frac{a}{r}+\frac{b}{r^{2}}+\frac{β\cos ^{2}θ}{r^{2}\sin ^{2}θ}+c$，给出了D维薛定谔方程的能量束缚态精确解.我们给出了一个明确的配方，如何获得一个明确的解决方案的径向和角度部分的波函数的正交多项式。由于角向部分的贡献，系统的总能量不同于赝库仑势。在这项工作中得到的一般结果可以减少到文献中给出的标准形式。

英文摘要：

We present analytically the exact energy bound-states solutions of the Schrodinger equation in D-dimensions for an alternative (often used) pseudo-Coulomb potential-plus- ring-shaped potential of the form $V(r)=-% \frac{a}{r}+\frac{b}{r^{2}}+\frac{β\cos ^{2}θ}{r^{2}\sin ^{2}θ}+c$ by means of the conventional Nikiforov-Uvarov method. We give a clear recipe of how to obtain an explicit solution to the radial and angular parts of the wave functions in terms of orthogonal polynomials. The total energy of the system is different from the pseudo-Coulomb potential because of the contribution of the angular part. The general results obtained in this work can be reduced to the standard forms given in literature.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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