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Momentum correlation in pair production by spacetime dependent fields from scattered wave functions
Umeå University, Faculty of Science and Technology, Department of Physics.ORCID iD: 0000-0001-5442-8297
2025 (English)In: Physical Review D: covering particles, fields, gravitation, and cosmology, ISSN 2470-0010, E-ISSN 2470-0029, Vol. 112, no 11, p. 1-11, article id 116011Article in journal (Refereed) Published
Abstract [en]

We consider Sauter-Schwinger pair production by electric fields that depend on both time and space, E(t; z) and E(t; x; y). For space independent fields E(t), momentum conservation δ(p + p') fixes the positron momentum p' in terms of the electron momentum p. For E(t; z), on the other hand, pz and pź are independent. However, previous exact-numerical studies have considered only the probability as a function of a single momentum variable, P(pz), P(pź) or P(pź − pz), but not the correlation P(pz; pź). In this paper, we show how to obtain P(pz; pź) by solving the Dirac equation numerically. To do so, we split the wave function into a background and a scattered wave, ψ(t; x) = ψback:(t; x) + ψscat:(t; x), where ψback: ∝ exp(±ipx + gauge term). ψscat. vanishes outside a past light cone and is obtained by solving (i= D − m)ψscat: = −(i= D − m)ψback:. backward in time starting with ψscat:(t → +∞; x) = 0.

Place, publisher, year, edition, pages
American Physical Society, 2025. Vol. 112, no 11, p. 1-11, article id 116011
National Category
Astronomy, Astrophysics and Cosmology Fusion, Plasma and Space Physics
Identifiers
URN: urn:nbn:se:umu:diva-248209DOI: 10.1103/j9dq-2hyyISI: 001645296500012Scopus ID: 2-s2.0-105025671406OAI: oai:DiVA.org:umu-248209DiVA, id: diva2:2026682
Available from: 2026-01-09 Created: 2026-01-09 Last updated: 2026-01-09Bibliographically approved

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Torgrimsson, Greger

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