Adiabatic Pair Creation

Abstract

We give here the proof that pair creation in a time dependent potentials is possible. It happens with probability one if the potential changes adiabatically in time and becomes overcritical, that is when an eigenvalue enters the upper spectral continuum. The potential may be assumed to be zero at large negative and positive times. The rigorous treatment of this effect has been lacking since the pioneering work of Beck, Steinwedel and Suessmann in 1963 and Gershtein and Zeldovich in 1970.

53 pages, 1 figure. Editorial changes on page 22 ff

References in corpus (4)

• Quantum effects with an X-ray free electron laser
• Adiabatic Pair Creation in Heavy Ion and Laser Fields
• Flux-Across-Surfaces Theorem for a Dirac Particle
• Spontaneous Transitions in Quantum Mechanics

Cited by in corpus (10)

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• Shortcuts to adiabaticity: Suppression of pair production in driven Dirac dynamics
• Time-rescaling of Dirac dynamics: shortcuts to adiabaticity in ion traps and Weyl semimetals
• Eigenfunctions at the threshold energies of magnetic Dirac operators
• Dirac Equation with External Potential and Initial Data on Cauchy Surfaces
• Memory effects in non-interacting mesoscopic transport
• Positron Position Operators. I. A Natural Option
• On the adiabatic theorem when eigenvalues dive into the continuum
• A solvable model of the breakdown of the adiabatic approximation
• The Adiabatic Wigner-Weisskopf Model