Time-evolution of the external field problem in Quantum Electrodynamics

DOI10.1063/1.3506403zbMath1314.81164arXiv0906.0046OpenAlexW3099975534MaRDI QIDQ5255476

Franz Merkl, Detlef Dürr, Dirk-André Deckert, Martin Schottenloher

Publication date: 15 June 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.0046

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Operator spaces and completely bounded maps (46L07) Quantization in field theory; cohomological methods (81T70) Electromagnetic interaction; quantum electrodynamics (81V10) Many-body theory; quantum Hall effect (81V70) Bergman spaces and Fock spaces (30H20)

Related Items (12)

External field QED on Cauchy surfaces for varying electromagnetic fields ⋮ The Dirac sea for the non-separable Hilbert spaces ⋮ On the mathematical foundations of causal fermion systems in Minkowski space ⋮ Dirac equation with external potential and initial data on Cauchy surfaces ⋮ Bosonic quadratic Hamiltonians ⋮ The phase of the scattering operator from the geometry of certain infinite-dimensional groups ⋮ A formulation of quantum field theory realizing a sea of interacting Dirac particles ⋮ The fermionic signature operator and Hadamard states in the presence of a plane electromagnetic wave ⋮ Avoiding Ultraviolet Divergence by Means of Interior–Boundary Conditions ⋮ Asymptotic charges, large gauge transformations and inequivalence of different gauges in external current QED ⋮ Observability, Unobservability and the Copenhagen Interpretation in Dirac's Methodology of Physics ⋮ Quantum fields with classical perturbations

Cites Work

• A formulation of quantum field theory realizing a sea of interacting Dirac particles
• On adiabatic pair creation
• Classes of linear operators. Vol. I
• Existence of a stable polarized vacuum in the Bogoliubov-Dirac-Fock approximation
• On the regularized fermionic projector of the vacuum
• Vacuum polarization and the geometric phase: Gauge invariance
• Scattering matrix in external field problems
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