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The Hartree-Fock approximation of Quantum Electrodynamics provides a rigorous framework for the description of relativistic electrons in external fields. This nonlinear model takes into account the infinitely many virtual electrons of…

Mathematical Physics · Physics 2012-11-21 Julien Sabin

Electron-positron pair production from vacuum in a strong electric field oscillating in time is studied. The field is assumed to consist of two consecutive pulses, with variable time delay in between. Pair production probabilities are…

Plasma Physics · Physics 2019-05-22 L. F. Granz , O. Mathiak , S. Villalba-Chávez , C. Müller

We investigate electron-positron pair production from the vacuum in presence of a strong oscillating electric field with a multi-pulse structure and variable inter-pulse delay. The pair production probabilities are computed by numerically…

High Energy Physics - Phenomenology · Physics 2026-04-09 Abhinav Jangir

A detailed analysis of electron-positron pair creation induced by a spatially nonuniform and static electric field from vacuum is presented. A typical example is provided by the Sauter potential. For this potential, we derive the analytic…

High Energy Physics - Theory · Physics 2011-12-20 A. Chervyakov , H. Kleinert

We calculate the probability of electron-positron pair creation in vacuum in 3+1 dimensions by an external electromagnetic field composed of a constant uniform electric field and a constant uniform magnetic field, both of arbitrary…

High Energy Physics - Theory · Physics 2008-11-26 Qiong-gui Lin

Production of electron-positron pairs from the quantum vacuum polarized by the superposition of a strong and a perturbative oscillating electric-field mode is studied. Our outcomes rely on a nonequilibrium quantum field theoretical…

High Energy Physics - Phenomenology · Physics 2014-12-09 Ibrahim Akal , Selym Villalba-Chávez , Carsten Müller

We calculate the Hartree-Fock energy of a density-wave in a spin polarized two-dimensional electron gas using a short-range repulsive interaction. We find that the stable ground state for a short-range potential is always either the…

Strongly Correlated Electrons · Physics 2009-11-10 Juana Moreno , D. C. Marinescu

The prototypical exciton model of two interacting Dirac particles in graphene was analyzed in [1] and it was found that in one of the electron-hole scattering channels the total kinetic energy vanishes, resulting in a singular behaviour. We…

Mesoscale and Nanoscale Physics · Physics 2015-11-03 Lachlan L. Marnham , Andrey V. Shytov

Treating the production of electron and positron pairs by a strong electric field from the vacuum as a quantum tunneling process we derive, in semiclassical approximation, a general expression for the pair production rate in a $z$-dependent…

High Energy Physics - Theory · Physics 2008-12-18 Hagen Kleinert , Remo Ruffini , She-Sheng Xue

There exists a clear physical motivation for theoretical studies of the vacuum instability related to the production of electron-positron pairs from a vacuum due to strong external electric fields. Various nonperturbative (with respect to…

High Energy Physics - Theory · Physics 2019-06-26 S. P. Gavrilov , D. M. Gitman , A. A. Shishmarev

The common tunneling picture of electron-positron pair creation in a strong electric field is generalized to pair creation in combined crossed electric and magnetic fields. This enhanced picture, being symmetric for electrons and positrons,…

Quantum Physics · Physics 2015-03-20 Anton Wöllert , Michael Klaiber , Heiko Bauke , Christoph H. Keitel

The electron-positron pair production by an electron in a strong magnetic field near the process threshold is considered. The process is shown to be more probable if the spin of the initial electron is oriented along the field. In this…

High Energy Physics - Phenomenology · Physics 2011-02-21 O. P. Novak , R. I. Kholodov , P. I. Fomin

A new method for calculations of electron-positron pair-creation probabilities in low-energy heavy-ion collisions is developed. The approach is based on the propagation of all one-electron states via the numerical solving of the…

The possibility of electron-positron pair creation by an electric field is studied by using only those methods in field theory the predictions of which are confirmed experimentally. These methods include the perturbative method of quantum…

High Energy Physics - Phenomenology · Physics 2007-05-23 H. Nikolic

We consider an external potential, $-\lambda \phi$, due to one or more nuclei. Following the Dirac picture such a potential polarizes the vacuum. The polarization density as derived in physics literature, after a well known renormalization…

Mathematical Physics · Physics 2009-11-10 Christian Hainzl

Electron-positron pair production from vacuum in spatially inhomogeneous electric fields with quadratically symmetric chirp is studied within the real-time Dirac-Heisenberg-Wigner formalism. The reduced momentum spectrum and the reduced…

High Energy Physics - Phenomenology · Physics 2026-03-17 Le Le Chen , Xiao-Ting Xu , Rong-An-Tang , Xue-Ren Hong , Lie-Juan Li , Bai-Song Xie

We evidence the existence of plasma oscillations of electrons-positron pairs created by the vacuum polarization in an uniform electric field with E < Ec. Our general treatment, encompassing also the traditional, well studied case of E > Ec,…

Astrophysics · Physics 2008-11-26 R. Ruffini , G. V. Vereshchagin , S. -S. Xue

According to Dirac's theory of the positron, an electromagnetic field tends to create pairs of particles which leads to a change of Maxwell's equations in the vacuum. These changes are calculated in the special case that no real electrons…

History and Philosophy of Physics · Physics 2007-05-23 W. Heisenberg , H. Euler

We study electron-positron pair creation {from} the Dirac vacuum induced by a strong and slowly varying electric field (Schwinger effect) which is superimposed by a weak and rapidly changing electromagnetic field (dynamical pair creation).…

High Energy Physics - Theory · Physics 2008-11-26 Ralf Schützhold , Holger Gies , Gerald Dunne

One of the fundamental predictions of Quantum Electrodynamics (QED) is the spontaneous creation of particle--antiparticle pairs from vacuum in presence of a very strong electric field. Under these extreme conditions a strongly bound state…

Quantum Physics · Physics 2019-01-29 Leonhard Klar , Nikodem Szpak , Ralf Schützhold
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