Project Details
Projekt
Optimal control of self-consistent classical and quantum particle systems
Applicants
Professor Dr. Martin Burger; Professor Dr. René Pinnau
Subject Area
Mathematics
Term
from 2009 to 2018
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 130703134
In this project we will study optimal control problems for self-consistent interacting quantum particle systems from the analytical and numerical point of view. This will involve microscopic as well as macroscopic quantum models, which have two main features in common: The control enters in a bilinear manner into the partial differential equations and in all models particle interaction takes place via a self-consistent electrostatic potential. This special model structure appears in many different types of applications, like (quantum) semiconductor devics, optimal quantum control or biomedical applications and it can be used to construct fast, nonstandard optimization algorithms. The main goals of this project are to understand the influence of the self-consistent coupling on the optimal control as well as the interplay of quantum effects and particle interactions.
DFG Programme
Priority Programmes
