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Generalized Boltzmann Equation with Field‐Dependent Collision Terms Inclusive of Interband Transitions
Author(s) -
Holzhütter H.G.,
Mocker M.
Publication year - 1977
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2220810112
Subject(s) - collision , boltzmann equation , boltzmann constant , physics , field (mathematics) , charge (physics) , current (fluid) , electron , operator (biology) , field dependence , statistical physics , quantum electrodynamics , quantum mechanics , mathematics , chemistry , magnetic field , thermodynamics , computer security , computer science , gene , pure mathematics , biochemistry , repressor , transcription factor
A coupled system of generalized Boltzmann equations with field‐dependent collision terms is derived, taking into account both intraband and interband transitions of the charge carriers. The field dependence of the collision terms is shown to be of importance if the field‐induced energetic uncertainty becomes comparable with the mean energy of the charge carriers. The interband part of the one‐electron density operator is investigated which is associated with the occurrence of an interband current.