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

摘要

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.