Quantum Transport Equations: Kinetic, Relativistic, and Diffusive Phenomena

01.02.2010 - 31.03.2014
Research funding project
This project is concerned with the mathematical and numerical analysis of quantum transport models (partial differential equations and integro-differential equations) that appear in solid state physics and semiconductor device simulations. It focuses on three closely related topics: A. Quantum kinetic models (analysis of stationary Wigner equations and development of efficient discretizations); B. Quantum relativistic models(derivation, analysis, and numerical implementation of absorbing boundary conditions for the Dirac equation); C. Quantum fluid models (analysis of quantum Euler and quantum drift-diffusion models).

People

Project leader

Sub project leader

Project personnel

Institute

Grant funds

  • FWF - Österr. Wissenschaftsfonds (National) Austrian Science Fund (FWF)

Research focus

  • Quantum Modeling and Simulation: 80%
  • Nano-electronics: 10%
  • Mathematical and Algorithmic Foundations: 10%

Keywords

GermanEnglish
Angewandte MathematikApplied Mathematics
partielle DifferentialgleichungenPartial differential equations
Quantenmodellequantum models
kinetische Gleichungenkinetic equations
absorbierende Randbedingungenabsorbing boundary conditions

Publications