Time-dependent Kohn-Sham approach to quantum electrodynamics

Details Time-dependent Kohn-Sham approach to quantum electrodynamics Time-dependent Kohn-Sham approach to quantum electrodynamics

2010-11-18

arxiv.org/abs/1011.4162v3

Phys. Rev. A 84, 042107 (2011)

Physics

Quantum Physics

8 pages

Scientific paper

10.1103/PhysRevA.84.042107

We prove a generalization of the van Leeuwen theorem towards quantum electrodynamics, providing the formal foundations of a time-dependent Kohn-Sham construction for coupled quantized matter and electromagnetic fields. Thereby we circumvent the symmetry-causality problems associated with the action-functional approach to Kohn-Sham systems. We show that the effective external four-potential and four-current of the Kohn-Sham system are uniquely defined and that the effective four-current takes a very simple form. Further we rederive the Runge-Gross theorem for quantum electrodynamics.

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