Relativistic solutions for diatomic molecules subject to pseudoharmonic oscillator in arbitrary dimensions

The exact solutions of the N-dimensional Klein-Gordon equation in the presence of an exactly solvable potential of V(r) = D_e(r/r_e-r_e/r)² type have been obtained. The N dimensional Klein-Gordon equation has been reduced to a first-order differential equation via Laplace transformation. The exact bound state energy eigenvalues and corresponding wave functions for CH, H₂, and HCl molecules interacting with pseudoharmonic oscillator potential in the arbitrary N dimensions have been determined. Bound state eigenfunctions used in applications related to molecular spectroscopy are obtained in terms of confluent hypergeometric functions.