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The Wigner-Poisson problem in a crystal

✍ Scribed by A. Arnold; P. Degond; P.A. Markowich; H. Steinrück

Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
336 KB
Volume
2
Category
Article
ISSN
0893-9659

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✦ Synopsis

We present a model for the transport of electrons in semiconductors. The model consists of an energy-band version of the Quantum Liouville (Wigner) equation coupled to a discrete Poisson equation.

📜 SIMILAR VOLUMES

The two-dimensional Wigner–Poisson probl
The two-dimensional Wigner–Poisson problem for an electron gas in the charge neutral case
✍ Anton Arnold; Francis Nier 📂 Article 📅 1991 🏛 John Wiley and Sons 🌐 English ⚖ 700 KB

## Abstract We prove the global existence of a unique classical solution of the two‐dimensional Wigner–Poisson problem by a reformulation as a system of countably many Schrödinger equations coupled to a Poisson equation. The charge neutrality of the system implies the boundedness of the electrostat