Abstract
The half-space boundary value problem for fermions near zero temperature in plane geometry is solved for diffuse boundary scattering by numerically constructing the spatial propagator in terms of the eigenfunctions of a generalized eigenvalue problem for the linearized Uehling-Uhlenbeck collision integral. The slip length is calculated for several interparticle scattering laws and compared with a relaxation time ansatz result and the experimental values for normal fluid3He. It is shown that the nonsingular part of the collision operator is relatively compact to the singular part.
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Seibold, H., Toepffer, C. The boundary value problem in fermion systems. J Stat Phys 55, 1129–1155 (1989). https://doi.org/10.1007/BF01041082
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DOI: https://doi.org/10.1007/BF01041082