(2.7) |

By Maxwell's equations we have

(2.8) |

and

Here is the electrical permittivity of free space and the dimensionless dielectric constant is a material dependent parameter. In our case the charge density is given by

(2.10) |

with the (negative) elementary charge, the zeroth moment, that is, the particle density, and the net doping.

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R. Kosik: Numerical Challenges on the Road to NanoTCAD