A Wignerfunction Approach to Phonon Scattering | Zendy

Florian Frommlet | Zendy; Peter A. Markowich | Zendy; Christian Ringhofer | Zendy

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A Wignerfunction Approach to Phonon Scattering

Author(s) -

Florian Frommlet,

Peter A. Markowich,

Christian Ringhofer

Publication year - 1998

Publication title -

vlsi design

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.123

H-Index - 24

eISSN - 1065-514X

pISSN - 1026-7123

DOI - 10.1155/1999/30381

Subject(s) - phonon , scattering , phonon scattering , physics , computer science , computational physics , statistical physics , condensed matter physics , quantum mechanics

We consider the motion of a single electron under phonon scattering caused by a crystallattice. Starting from the Fröhlich Hamiltonian in the second quantization formalismwe derive a kinetic transport model by using the Wigner transformation. Under theassumption of small electron-phonon interaction we derive asymptotically the operatorrepresenting electron-phonon scattering in the Wigner equation. We then consider somescaling limits and finally we give the connection of our result to the well known Barker-Ferry equation

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