SUSYQM AND SWKB APPROACHES TO RELATIVISTIC DIRAC AND KLEIN-GORDON EQUATIONS WITH HYPERBOLIC POTENTIAL

Abstract

It is known that the exactly solvable physical potentials have attracted much attention in quantum mechanics. The non-relativistic and relativistic equations have been solved for many physical potentials by using a variety of approaches such as the factorization method, group theoretical method, the SUSYQM and shape invariance and others. It should be noted that many of these approaches mentioned above could be formulated by rewriting them as some transformations to map the original wave equations into some second order ordinary differential equations, whose solutions are the special functions. On the other hand, it has been turned out that some well known solvable potentials with the shape invariance properties are exactly the same ones that can be obtained with the factorization method.