MASS AND POTENTIAL DUALITY EXPLORED VIA A POSITION-DEPENDENT MASS QUANTUM APPROACH

The approximation made to quantum systems where a particle possesses an effective mass that depends on the position is relevant to many state-of-the-art compounds, which have been extremely useful in tailoring different quantum physical properties, specially in the field of semiconductors. The approach of a position-dependent mass has proved to be a very effective one in those cases where quantum wells emerge either in one or two dimensions. In the present work we discuss the interplay between m(x) versus the action potential V(x) in the Schrodinger equation, the presence of the one excluding the other. As an application, both approaches are compared in the benzene molecule.