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Eigensolutions of the Schrodinger Equation with Some Physical Potentials

机译:具有某些物理势的薛定inger方程的本征解

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摘要

Using the parametric Nikiforov-Uvarov methodology, we have obtained the analytical approximation to the p-wave solutions of the Schrodinger equation with a combination of the modified Hylleraas potential and the Yukawa potential and with a combination of the modified Hylleraas potential and the Coulomb potential. The energy eigenvalue equations and their corresponding wave functions have been obtained explicitly. To show the accuracy of our results, we have calculated the eigenvalues numerically for arbitrary quantum numbers n and l.
机译:使用参数化的Nikiforov-Uvarov方法,我们获得了Schrodinger方程p波解的解析近似,其结合了修改后的Hylleraas势和Yukawa势以及修改过的Hylleraas势和库仑势。能量特征值方程及其相应的波函数已明确获得。为了证明我们的结果的准确性,我们已经计算了任意量子数n和l的特征值。

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