Analytical solutions of D-dimensional Klein-Gordon equation with modified Mobius squared potential

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.

Automated summary

Approximate solutions to the Klein-Gordon equation with the modified Mobius squared potential were obtained using the Nikiforov-Uvarov (NU) method, resulting in relativistic energy eigenvalues and corresponding wave functions. It was demonstrated that in the non-relativistic limit, the energy eigenvalues converge to those of the Schrödinger equation. The behavior of CO, NO, and HCl molecules under the influence of the modified Mobius squared potential was investigated, with numerical values of energies for arbitrary quantum numbers presented.