Abstract
Linear transport processes occur whenever particles move in a host medium, carrying mass, momentum, and energy from one point of the medium to another. Mathematical models of such transport processes involve two operators, one accounting for free streaming of the particles, the other for interactions between the particles and the atoms or molecules of the surrounding host medium. We investigate a time-independent electron transport problem, where the free streaming operator is the multiplicative coordinate operator in L2(−1,1) and the interaction operator is the Legendre differential operator.
This work was supported by the Applied Mathematical Sciences Research Program (KC-04-02) of the Office of Energy Research of the U.S. Department of Energy under Contract W-31-109-ENG-38.
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Kaper, H.G., Lekkerkerker, C.G., Zettl, A. (1982). Linear transport theory and an indefinite Sturm-Liouville problem. In: Everitt, W., Sleeman, B. (eds) Ordinary and Partial Differential Equations. Lecture Notes in Mathematics, vol 964. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0065008
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DOI: https://doi.org/10.1007/BFb0065008
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