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    A discrete-velocity, stationary Wigner equation

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    Downloads: 373
    Date
    2000-11
    Author
    Arnold, A.
    Lange, H.
    Zweifel, P. F.
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    Abstract
    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. (C) 2000 American Institute of Physics. [S0022-2488(00)00112-2].
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    http://hdl.handle.net/10919/25116
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    • Scholarly Works, Department of Physics [811]

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