Abstract

The Boltzmann equation for polar semiconductors is solved formally as a series expansion. The form of the collision operator used is that derived by Howarth and Sondheimer. The method of solution is based on an iteration procedure analogous to Neumann's series solution for an integral equation. The solution has been computed numerically as a function of electron-energy-phonon-energy for certain typical combinations of values of the temperature and degeneracy parameters. Guided by these `control solutions' algebraic equations are derived which approximate to the Boltzmann equation in important limiting cases. From these algebraic equations the conductivity and the thermoelectric power are deduced.

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