Published 1990
| Version v1
Journal article
A quantum-transport model for semiconductors: the Wigner-Poisson problem on a bounded Brillouin zone
Creators
- 1. Ecole Polytechnique, 91 - Palaiseau (France)
- 2. Technische Univ., Vienna (Austria). Inst. fuer Angewandte und Numerische Mathematik
Description
We analyse a quantum-mechanical model for the transport of electrons in semiconductors. The model consists of the quantum Liouville (Wigner) equation posed on the bounded Brillouin zone corresponding to the semiconductor crystal lattice, with a self-consistent potential determined by a Poisson equation. A global existence and uniqueness proof for this model is the main result of the paper
Additional details
Publishing Information
- Journal Title
- Mathematical Modelling and Numerical Analysis
- Journal Volume
- 24
- Journal Issue
- 6
- Series
- Math Model. Numer. Anal.
- Journal Page Range
- 697-710
- ISSN
- 0764-583X
- CODEN
- RMMAE
INIS
- Country of Publication
- France
- Country of Input or Organization
- France
- INIS RN
- 22035806
- Subject category
- S75: CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY;
- Descriptors DEI
- BRILLOUIN ZONES; CHARGED-PARTICLE TRANSPORT; ELECTRONS; LIOUVILLE THEOREM; MATHEMATICAL MODELS; QUANTUM MECHANICS; SEMICONDUCTOR MATERIALS
- Descriptors DEC
- ELEMENTARY PARTICLES; FERMIONS; LEPTONS; MATERIALS; MECHANICS; RADIATION TRANSPORT; ZONES