Continuity conditions for the wave function of a particle with a position-dependent mass in a laser field - art. no. 052711

The continuity conditions for the wave function of a particle with a positi on-dependent mass and interacting with an oscillating field are derived. On e-dimensional motion is assumed and the potential is represented as a serie s of constant steps. The method introduces discontinuities in the potential and the mass and the matching conditions need to be reformulated to take i nto account the presence of the field. An application is made to the calcul ation of the transmissivity of an electron with a sector-dependent effectiv e mass in a nanostructure. The use in each sector of the wave equation with out the A(2) term is necessary to ensure convergence with respect to the nu mber of channels.