On the Solution of the Schr?dinger Equation with Position-Dependent Mass

摘要

We have considered the Iwasawa and Gauss decompositions for the Lie group SL(2,R). According to these decompositions, the Casimir operators of the group and the Hamiltonians with position-dependent mass were expressed. Then, the unbound state solutions of the Schr?dinger equations with position-dependent mass were given.