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Time-dependent Kohn-Sham approach to quantum electrodynamics

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Ruggenthaler,  Michael
Division Prof. Dr. Christoph H. Keitel, MPI for Nuclear Physics, Max Planck Society;

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Mackenroth,  Kai Felix
Division Prof. Dr. Christoph H. Keitel, MPI for Nuclear Physics, Max Planck Society;

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Bauer,  Dieter
Division Prof. Dr. Christoph H. Keitel, MPI for Nuclear Physics, Max Planck Society;

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1011.4162
(Preprint), 169KB

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Citation

Ruggenthaler, M., Mackenroth, K. F., & Bauer, D. (2011). Time-dependent Kohn-Sham approach to quantum electrodynamics. Physical Review. A, 84(04): 042107. doi:10.1103/PhysRevA.84.042107.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0012-5E60-4
Abstract
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.