6533b7d1fe1ef96bd125bad5

RESEARCH PRODUCT

Time-dependent Kohn-Sham approach to quantum electrodynamics

Michael RuggenthalerKai Felix MackenrothDieter Bauer

subject

Electromagnetic fieldGeneralizationKohn–Sham equationsFOS: Physical sciences02 engineering and technology01 natural sciencesCausality (physics)Condensed Matter::Materials ScienceSimple (abstract algebra)0103 physical sciencesQuantum no-deleting theoremPhysics::Atomic and Molecular ClustersPhysics::Chemical Physics010306 general physicsPhysicsPhysics::Computational PhysicsQuantum Physicsta114021001 nanoscience & nanotechnologyAtomic and Molecular Physics and OpticsSymmetry (physics)Condensed Matter - Other Condensed MatterQuantum electrodynamicsStochastic electrodynamics0210 nano-technologyQuantum Physics (quant-ph)Other Condensed Matter (cond-mat.other)

description

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.

https://dx.doi.org/10.48550/arxiv.1011.4162