Approximate analytical solutions of the relativistic equations with the Deng-Fan molecular potential including a Pekeris-type approximation to the (pseudo or) centrifugal term

作者：Oluwadare O J^*; Oyewumi K J; Akoshile C O; Babalola O A

来源：Physica Scripta, 2012, 86(3): 035002.

DOI：10.1088/0031-8949/86/03/035002

By employing the Pekeris-type (or a new improved approximation) to deal with the (pseudo or) centrifugal term, we solve the Klein-Gordon and Dirac equations with equally mixed scalar and vector Deng-Fan molecular potentials for all values of l (orbital the angular momentum quantum number) and kappa (spin-orbit coupling quantum number), respectively. Using the formalism of the Nikiforov-Uvarov method, the approximate analytical bound state energy equations and the associated two-component spinors corresponding to the two relativistic equations are obtained. Also, special cases including the non-relativistic limits of the relativistic equation are obtained.

• 出版日期2012-9