A theoretical investigation of time-dependent Kohn-Sham equations

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 Schrödinger 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.

References in corpus (1)

• Existence, Uniqueness, and Construction of the Density-Potential Mapping in Time-Dependent Density-Functional Theory

Cited by in corpus (8)

• A Snapshot of Time-Dependent Density-Functional Theory
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• A mathematical analysis of the adiabatic Dyson equation from time-dependent density functional theory
• Existence and uniqueness of solutions to the time-dependent Kohn-Sham equations coupled with classical nuclear dynamics
• Stability of homogeneous equilibria of the Hartree-Fock equation, for its equivalent formulation for random fields
• Consistency of the Local Density Approximation and Generalized Quantum Corrections for Time Dependent Closed Quantum Systems