Virginia TechArnold, AntonLange, HorstZweifel, Paul F.2014-01-232014-01-232000-11Arnold, A; Lange, H; Zweifel, PF, "A discrete-velocity, stationary Wigner equation," J. Math. Phys. 41, 7167 (2000); http://dx.doi.org/10.1063/1.13187320022-2488http://hdl.handle.net/10919/25116This paper is concerned with the one-dimensional stationary linear Wigner equation, a kinetic formulation of quantum mechanics. Specifically, we analyze the well-posedness of the boundary value problem on a slab of the phase space with given inflow data for a discrete-velocity model. We find that the problem is uniquely solvable if zero is not a discrete velocity. Otherwise one obtains a differential-algebraic equation of index 2 and, hence, the inflow data make the system overdetermined. (C) 2000 American Institute of Physics. [S0022-2488(00)00112-2].en-USIn Copyrightquantum transport-equationsboundary-value problemschrodingerscatteringmodeldiodeArticle - Refereedhttp://scitation.aip.org/content/aip/journal/jmp/41/11/10.1063/1.1318732https://doi.org/10.1063/1.1318732