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Open Quantum Systems Decoherence Quantum Foundations

Time-dependent Kohn-Sham approach to quantum electrodynamics

arXiv
Authors: M. Ruggenthaler, F. Mackenroth, D. Bauer

Year

2010

Paper ID

10361

Status

Preprint

Abstract Read

~2 min

Abstract Words

77

Citations

N/A

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.

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  • 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...

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