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A systematic study on the exact solution of the position dependent mass Schr dinger equation

A systematic study on the exact solution of the position dependent mass Schr dinger equation

An algebraic method of constructing potentials for which the Schroedinger equation with position dependent mass can be solved exactly is presented. A general form of the generators of su(1,1) algebra has been employed with a unified approach to the problem. Our systematic approach reproduces a number of earlier results and …