Boundary Concepts for an Improvement of the Numerical Solution with regard to the Wigner Transport Equation

Even though the numerical solution of the Wigner Transport Equation is linked with problems, the approach is preferable from the engineering point of view. Among the several differences in comparisons based on the numerical solution of the Schrödinger equation, the absence of open boundary conditions may be one of the most prominent challenges. As a consequence unphysical results may be obtained. To overcome the limitations, two concepts are presented allowing an inclusion of open boundary conditions in the Wigner function formalism. The concepts are investigated by means of a simple structured resonant tunneling diode as a prototype device.