1202.2647 (P. V. Ivanisenko et al.)

The Kramers problem for quantum fermi-gases with constant collision
frequency and specular - diffusive boundary conditions    [PDF]

P. V. Ivanisenko, A. V. Latyshev

The Kramers problem for quantum fermi-gases with specular - diffuse boundary
conditions of the kinetic theory is considered. On an example of Kramers
problem the new generalised method of a source of the decision of the boundary
problems from the kinetic theory is developed. The method allows to receive the
decision with any degree of accuracy. At the basis of a method lays the idea of
representation of a boundary condition on distribution function in the form of
a source in the kinetic equation. By means of integrals Fourier the kinetic
equation with a source is reduced to the integral equation of Fredholm type of
the second kind. The decision is received in the form of Neumann's series.

View original: http://arxiv.org/abs/1202.2647