具有常碰撞频率和镜面扩散边界条件的量子费米气体的Kramers问题
The Kramers problem for quantum fermi-gases with constant collision frequency and specular - diffusive boundary conditions
摘要：
本文考虑了动力学理论中具有镜面扩散边界条件的量子费米气体的Kramers问题。本文以Kramers问题为例，发展了一种从动力学理论出发判定边值问题源的新的推广方法。该方法允许以任何准确度接收决策。在方法的基础上，提出了在动力学方程中以源的形式表示分布函数上的边界条件的思想。利用Fourier积分将含源动力学方程化为第二类Fredholm型积分方程。这个决定是以诺依曼级数的形式得到的。
英文摘要：
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.
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