The General Solution of the Boltzmann Transport Equation and Boundary-Value Problems

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概要

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• The general solution of the linearized Boltzmann transport equation is derived for an infinite medium, a semi-infinite medium and a medium bounded by two parallel planes. The particular solution required by the nature of the boundary scattering of the electrons is also obtained for these bounded media, subject to the following assumptions: a fraction p of the electrons arriving at the boundary of the medium is scattered specularly, while the rest are scattered diffusely; p is independent of the direction of motion of the electrons. The general solution of the linearized Boltzmann transport equation agrees completely with Chambers' expression, and the formulation presented by Mattis and Dresslhaus, Rodriguez, and Suzuki et al., all of whom have used the specular reflection boundary condition for the semi-infinite medium, is shown to be essentially correct.

• 社団法人日本物理学会の論文
• 1962-10-05

著者

• Suzuki Hideo

  Physical Institute Nagoya University

• Suzuki H.

  Physical Institute, Nagoya University

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• Cyclotron Resonance in Thin Metallic Films
• Exact Solutions of the Secular Equations in the HMO Treatment for Chain Molecules of Finite Length
• New Aspect of Cyclotron Resonance in Thin Metallic Films

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