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arXiv · 1701.02124

A theoretical investigation of time-dependent Kohn-Sham equations

Martin Sprengel·Gabriele Ciaramella·Alfio Borzì
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Abstract

In this work, the existence, uniqueness and regularity of solutions to the time-dependent Kohn-Sham equations are investigated. The Kohn-Sham equations are a system of nonlinear coupled Schr\"odinger equations that describe multi-particle quantum systems in the framework of the time dependent density functional theory. In view of applications with control problems, the presence of a control function and of an inhomogeneity are also taken into account.

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Martin Sprengel, Gabriele Ciaramella, Alfio Borzì. 2017-01-09. A theoretical investigation of time-dependent Kohn-Sham equations. https://doi.org/10.1137/15m1053517

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