Virginia TechLange, HorstToomire, Bruce V.Zweifel, Paul F.2014-06-122014-06-121999Horst Lange, Bruce Toomire, and P. F. Zweifel, "Inflow Boundary Conditions in Quantum Transport Theory," VLSI Design, vol. 9, no. 4, pp. 385-396, 1999. doi:10.1155/1999/849051065-514Xhttp://hdl.handle.net/10919/48921A linear (given potential) steady-state Wigner equation is considered in conjunction with inflow boundary conditions and relaxation-time terms. A brief review of the use of inflow conditions in the classical case is also discussed. An analytic expansion of solutions is shown and a recursion relation derived for the given problem under certain regularity assumptions on the given inflow data. The uniqueness of the physical current of the solutions is shown and a brief discussion of the lack of charge conservation associated with the relaxation-time is given.en-USIn Copyrightinflowboundaryconditionssteady-statewignerwigner-poissonequationmodelcomputer science, hardware & architectureengineering, electrical &electronicArticle - Refereedhttp://www.hindawi.com/journals/vlsi/1999/084905/abs/https://doi.org/10.1155/1999/84905