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Analytical solutions of D-dimensional Klein–Gordon equation with modified Mobius squared potential
Results in Physics ( IF 4.4 ) Pub Date : 2021-04-28 , DOI: 10.1016/j.rinp.2021.104144
C.P. Onyenegecha , A.I. Opara , I.J. Njoku , S.C. Udensi , U.M. Ukewuihe , C.J. Okereke , A. Omame

Approximate solutions of Klein–Gordon equation are obtained for the modified Mobius squared potential using the Nikiforov-Uvarov (NU) method. The relativistic energy eigenvalues and corresponding wave functions are obtained. It is further shown that in the non-relativistic limit, the energy eigenvalues reduces to that of Schrodinger equation. The behavior of CO, NO and HCl molecules are investigated subject to the modified Mobius squared potential. Numerical values of the energies of these diatomic molecules are also presented for arbitrary values of quantum numbers n and l. Finally, plots showing the variation of the energy against various potential parameters are presented for the selected diatomic molecules.



中文翻译:

具有修正的Mobius平方势的D维Klein-Gordon方程的解析解

使用Nikiforov-Uvarov(NU)方法获得了修正的Mobius平方势的Klein-Gordon方程的近似解。获得了相对论的能量本征值和相应的波动函数。进一步表明,在非相对论极限中,能量特征值减小到薛定inger方程的能量特征值。考察了CO,NO和HCl分子的行为,以修正的Mobius平方势为准。还针对量子数nl的任意值给出了这些双原子分子的能量数值。最后,给出了针对所选双原子分子的能量随各种潜在参数变化的曲线图。

更新日期:2021-05-02
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