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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) = De(r/re − re/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.