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The problem of constructing physically and mathematically well-defined Wigner functions for the canonical pair angle and angular momentum is solved. While a key element for the construction of Wigner functions for the planar phase space…

Quantum Physics · Physics 2016-12-16 H. A. Kastrup

Relations between Wigner functions and the source functions used in models of Bose-Einstein correlations in multiple particle production are derived and discussed. These relations are model dependent. In particular it is important whether…

High Energy Physics - Phenomenology · Physics 2011-03-17 K. Zalewski

We calculate the rate of thermal Schwinger pair production at arbitrary coupling in weak external fields. Our calculations are valid independently of many properties of the charged particles produced, in particular their spin and whether…

High Energy Physics - Theory · Physics 2017-10-11 Oliver Gould , Arttu Rajantie

We first demonstrate theoretically that the computational quantum field theory is equivalent to the quantum kinetic theory for pair creation in a spatially homogeneous and time-dependent electric field, then verify numerically their…

High Energy Physics - Phenomenology · Physics 2021-06-30 Z. L. Li , C. Gong , Y. J. Li

We introduce the Wigner functional representing a quantum field in terms of the field amplitudes and their conjugate momenta. The equation of motion for the functional of a scalar field point out the relevance of solutions of the classical…

High Energy Physics - Theory · Physics 2010-11-01 S. Mrowczynski , B. Mueller

We propose a new Sauter-like field model with combinatorial multiple potentials consisting of a deep slow-varying and some shallow fast-varying potentials. The dynamically assisted Sauter-Schwinger effect on the pair production is found by…

High Energy Physics - Phenomenology · Physics 2024-07-12 Lie-Juan Li , Li Wang , Melike Mohamedsedik , Li-Na Hu , Bai-Song Xie

Electron-positron pairs can be produced via the Schwinger mechanism in the presence of strong electric fields. In particular, the fields involved in $\alpha$ decay and nuclear fission are strong enough to produce them. The energy of the…

Nuclear Theory · Physics 2023-04-12 Thomas Settlemyre , Hua Zheng , Aldo Bonasera

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

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

The interconnection between quantum mechanics and probabilistic classical mechanics for a free relativistic particle is derived in terms of Wigner functions (WF) for both Dirac and Klein-Gordon (K-G) equations. Construction of WF is…

High Energy Physics - Theory · Physics 2009-10-31 A. N. Mitra , R. Ramanathan

We analytically investigate the Schwinger pair production in the de Sitter background by using {\em the uniform asymptotic approximation method}, and show that the equation of motion in general has two turning points, and the nature of…

General Relativity and Quantum Cosmology · Physics 2018-02-12 Jia-Jia Geng , Bao-Fei Li , Jiro Soda , Anzhong Wang , Qiang Wu , Tao Zhu

A quantum kinetic equation is derived for the description of pair production in a time-dependent homogeneous electric field $E(t)$. As a source term, the Schwinger mechanism for particle creation is incorporated. Possible particle…

High Energy Physics - Phenomenology · Physics 2015-06-25 S. Schmidt , D. Blaschke , G. Röpke , S. A. Smolyansky , A. V. Prozorkevich , V. D. Toneev

We study electron-positron pair production within two counter-propagating, circularly polarized electromagnetic fields through the Wigner formalism. We numerically generate high-resolution momentum maps to perform a detailed spectroscopic…

High Energy Physics - Phenomenology · Physics 2025-02-05 Christian Kohlfürst

We give an exact, analytic, and manifestly gauge invariant account of pair production in combined longitudinal and transverse electromagnetic fields, both depending arbitrarily on lightfront time. The instantaneous, nonperturbative…

High Energy Physics - Phenomenology · Physics 2011-12-19 Florian Hebenstreit , Anton Ilderton , Mattias Marklund

We numerically investigate the temporal behavior and the structure of longitudinal momentum spectrum and the field polarity effect on pair production in pulsed electric fields in scalar quantum electrodynamics (QED). Using the evolution…

High Energy Physics - Theory · Physics 2012-07-24 Sang Pyo Kim , Hyung Won Lee , Remo Ruffini

The effects of electric field polarizations on pair production from a vacuum are investigated numerically by employing the real-time Dirac-Heisenberg-Wigner formalism. For few-cycle fields, it is found that the interference pattern in…

Quantum Physics · Physics 2015-10-28 Z. L. Li , D. Lu , B. S. Xie

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

The non-perturbative electron-positron pair production in time-dependent electric fields is investigated. The quantum kinetic formalism is employed in order to calculate the electron density for various field configurations. The…

High Energy Physics - Phenomenology · Physics 2012-12-06 Christian Kohlfürst

We study the Schwinger pair production in confining theories. The production rate in an external electric field E is numerically evaluated by using the holographic description. There exist two kinds of critical values of the electric field,…

High Energy Physics - Theory · Physics 2014-06-03 Daisuke Kawai , Yoshiki Sato , Kentaroh Yoshida

Recent electron quantum optics experiments performed with on-demand single electron sources call for a mixed time/frequency approach to electronic quantum coherence. Here, we present a Wigner function representation of first order…

Mesoscale and Nanoscale Physics · Physics 2013-11-20 D. Ferraro , A. Feller , A. Ghibaudo , E. Thibierge , E. Bocquillon , G. Fève , C. Grenier , P. Degiovanni