Scattering in abrupt heterostructures using a position dependent mass Hamiltonian

Transmission probabilities of the scattering problem with a, position dependent mass are studied. After sketching the basis of the theory, within the context of the Schrodinger equation for spatially varying effective mass, the simplest problem, namely, transmission through a square well potential with a position dependent mass barrier is studied and its novel properties are obtained. The solutions presented here may be advantageous in the design of semiconductor devices.