Existence of the spontaneous pair creation in the external field approximation of Q.E.D

DOI10.1007/BF01215224zbMath0627.58040MaRDI QIDQ1092494

Gheorghe Nenciu

Publication date: 1987

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

zbMATH Keywords

adiabatic switching formalismstrong electromagnetic fields

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) Electromagnetic interaction; quantum electrodynamics (81V10)

Related Items (12)

Existence of atoms and molecules in the mean-field approximation of no-photon quantum electrodynamics ⋮ Electronic vacuum charge for an overcritical nucleus ⋮ Static electron-positron pair creation in strong fields for a non-linear Dirac model ⋮ On the adiabatic theorem when eigenvalues dive into the continuum ⋮ The adiabatic Wigner-Weisskopf model ⋮ Variational methods in relativistic quantum mechanics ⋮ Memory effects in non-interacting mesoscopic transport ⋮ Optical lattice quantum simulator for quantum electrodynamics in strong external fields: spontaneous pair creation and the Sauter–Schwinger effect ⋮ Generalized eigenfunctions for Dirac operators near criticality ⋮ On adiabatic pair creation ⋮ Resonances in the one-dimensional Dirac equation in the presence of a point interaction and a constant electric field ⋮ Unnamed Item

Cites Work

• Adiabatic theorem and spectral concentration. I: Arbitrary order spectral concentration for the Stark effect in atomic physics
• On the adiabatic limit for Dirac particles in external fields
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