On the adiabatic limit for Dirac particles in external fields

DOI10.1007/BF01212820zbMath0996.81523OpenAlexW2035504497MaRDI QIDQ1847991

Gheorghe Nenciu

Publication date: 29 October 2002

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

Full work available at URL: https://doi.org/10.1007/bf01212820

Mathematics Subject Classification ID

Electromagnetic interaction; quantum electrodynamics (81V10) Exactly and quasi-solvable systems arising in quantum theory (81U15)

Related Items (11)

Existence of the spontaneous pair creation in the external field approximation of Q.E.D ⋮ Static electron-positron pair creation in strong fields for a non-linear Dirac model ⋮ Asymptotic behavior of solutions of the nonstationary Schrödinger equation with potential that slowly depends on time ⋮ Adiabatic theorem and spectral concentration. I: Arbitrary order spectral concentration for the Stark effect in atomic physics ⋮ Asymptotic behavior of solutions of the nonstationary Dirac euqation with potential that slowly depends on time ⋮ 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 ⋮ Absence of vacuum polarisation in Fock space ⋮ Shortcuts to adiabaticity: suppression of pair production in driven Dirac dynamics

Cites Work

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• Self-adjointness and invariance of the essential spectrum for Dirac operators defined as quadratic forms
• Scattering automorphisms of the Dirac field
• Fredholm Theory of Scattering in a Given Time-Dependent Field

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