The relativistic treatment of spin-0 particles under the rotating Morse oscillator

We present the energy eigenvalues and corresponding normalized eigenfunctions of the relativistic spin-0 particles by solving the Klein-Gordon equation. Analytical forms for the energy eigenvalues and eigenfunctions have been derived by using Pekeris approximation to the centrifugal term within the framework of the asymptotic iteration method for the equal vector and scalar rotating Morse oscillator. The eigenvalue equation results in a transcendental form, in which the numerical values are presented in atomic units for arbitrary n and quantum states. (c) 2010 American Institute of Physics. [doi:10.1063/1.3503413]