Abstract
We study optimal control problems for self-consistent interacting classical and quantum particle systems from the analytical and numerical point of view. This involves 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 devices, optimal quantum control or biomedical applications and it is used to construct fast optimization algorithms.
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