The Boltzmann equation is a semiclassical equation and describes the time-dependent position and momentum of electrons and holes in semiconductors. To describe the interaction between electrons the BTE is coupled with the Poisson equation.

To simplify the (3+3)-dimensional equation additional assumptions are made. Using cylinder symmetry the equation can be reduced to (1+2) dimensions. Further simplifications in the framework of the diffusion approximations are defined.

- 2.1.1 The Boltzmann Equation for Parabolic Energy Bands
- 2.1.2 Poisson Equation
- 2.1.3 Dimensional Reduction
- 2.1.4 Distribution Function Models

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