广义位移Hulthen势的束缚态解
Bound state solutions of the generalized shifted Hulthen potential
摘要：
在这项研究中，我们得到了薛定谔方程在任意尺寸的广义移位Hulthen势模型的Nikiforov-Uvarov方法的框架内的近似解。计算了束缚态能量本征值，得到了相应的本征函数。结果表明，三种近似方案的数值特征值吻合较好。当电位参数改变时，考虑了特殊情况，分别产生了Hulthen电位和Woods-Saxon电位。其能量本征值表达式与已有文献一致。一个简单的扩展的s波的情况下，Hulthen潜在的和伍兹-撒克逊潜在的情况下也提出。
英文摘要：
In this study, we obtain an approximate solution of the Schrodinger equation in arbitrary dimensions for the generalized shifted Hulthen potential model within the framework of the Nikiforov-Uvarov method. The bound state energy eigenvalues were computed and the corresponding eigenfunction was also obtained. It is found that the numerical eigenvalues were in good agreement for all three approximations scheme used. Special cases were considered when the potential parameters were altered, resulting into Hulthen Potential and Woods-Saxon Potential respectively. Their energy eigenvalues expressions agreed with the already existing literatures. A straightforward extension to the s-wave case for Hulthen potential and Woods-Saxon Potential cases are also presented.
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