Transport Equation Current Density in Nonequilibrium Detectors

3 Transport Equation (Current Density in Nonequilibrium Detectors) 

When calculating carrier transport in a nonequilibrium device we start from the Liouville-Von Neumann expression for the density matrix [342] which reduces under certain conditions to the Boltzmann transport equation. These conditions reflect the semiclassical approach to the description of charge carrier transport and may be summed as [342] 

Band theory of semiconductors is applicable and the theorem of effective mass is valid. 

External fields slowly change compared to the electron wavelength, i.e., electron dynamics may be represented by classical physics. 

We assume single-particle (Hartree-Fock) approximation [344]. 

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