Naslov
Macroscopic quantum models with and without collisions

Autori
Jüngel, Ansgar ; Milišić, Josipa Pina

Izvornik
Bulletin of Institute of Mathematics, Academia sinica. New series (2304-7909) 2 (2007); 251-279

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Quantum hydrodynamic equations; quantum drift-diffusion

Sažetak
Recent progress on the derivation of macroscopic quantum models, particularly used in semiconductor device modeling, is reviewed. The first part of the survey is concerned with collisionless models, namely quantum hydrodynamic equations. These models are derived from the mixed-state Schroedinger system or from the Wigner equation. In the second part, starting from a Wigner-Boltzmann-type equation, quantum diffusion models like the viscous quantum hydrodynamic and the quantum drift-diffusion equations are derived. For these quantum diffusion models, new numerical results for a simple semiconductor resonant tunneling diode are presented. Moreover, some hybrid macroscopic-microscopic models for semiconductor devices are reviewed.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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