A Discrete–Velocity, Stationary Wigner Equation
نویسندگان
چکیده
This 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.
منابع مشابه
A discrete - velocity , stationary Wigner
This paper is concerned with the one-dimensional stationary linear Wigner equation, a kinetic formulation of quantum mechanics. Specii-cally, we analyze the well-posedness of the boundary value problem on a slab of the phase-space with given innow data for a discrete-velocity model. We nd that the problem is uniquely solvable if zero is not a discrete velocity. Otherwise one obtains a diierenti...
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تاریخ انتشار 1999