Relativistic Treatment of Spinless Particles Subject to a q-Deformed Morse Potential

The approximate analytical solutions of the Klein-Gordon equation with equal scalar and vector q-deformed Morse potential are presented for arbitrary l-states by using Laplace integral transform. The energy eigenvalues and corresponding wave functions are obtained for n and l values. In this study, in the non-relativistic limit c→∞, it has been also provided that the energy eigenfunctions for Klein-Gordon system turn into those for Schrödinger one.