In this work, the existence, uniqueness, and regularity of solutions to the timedependent Kohn-Sham equations are investigated. The Kohn-Sham equations are a system of coupled nonlinear Schrödinger equations that describe multiparticle quantum systems in the framework of the time-dependent density functional theory. In view of applications to control problems, the presence of a control function and the case of an inhomogeneity are also discussed.
A theoretical investigation of time-dependent Kohn-Sham equations
Ciaramella G.;
2017-01-01
Abstract
In this work, the existence, uniqueness, and regularity of solutions to the timedependent Kohn-Sham equations are investigated. The Kohn-Sham equations are a system of coupled nonlinear Schrödinger equations that describe multiparticle quantum systems in the framework of the time-dependent density functional theory. In view of applications to control problems, the presence of a control function and the case of an inhomogeneity are also discussed.File in questo prodotto:
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