International Workshop on Quantum TheoryView this Special Issue
Florian Frommlet, Peter A. Markowich, Christian Ringhofer, "A Wignerfunction Approach to Phonon Scattering", VLSI Design, vol. 9, Article ID 030381, 12 pages, 1999. https://doi.org/10.1155/1999/30381
A Wignerfunction Approach to Phonon Scattering
We consider the motion of a single electron under phonon scattering caused by a crystal lattice. Starting from the Fröhlich Hamiltonian in the second quantization formalism we derive a kinetic transport model by using the Wigner transformation. Under the assumption of small electron-phonon interaction we derive asymptotically the operator representing electron-phonon scattering in the Wigner equation. We then consider some scaling limits and finally we give the connection of our result to the well known Barker-Ferry equation.
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