English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Volkov states are exact solutions of the Dirac equation in the presence of anarbitrary plane wave. Volkov states, as well as free photon states, are notstable in the presence of the background plane-wave field but "decay" aselectrons/positrons can emit photons and photons can transform intoelectron-positron pairs. By using the solutions of the correspondingSchwinger-Dyson equations within the locally-constant field approximation, wecompute the probabilities of nonlinear single Compton scattering and nonlinearBreit-Wheeler pair production by including the effects of the decay ofelectron, positron, and photon states. As a result, we find that theprobabilities of these processes can be expressed as the integral over thelight-cone time of the known probabilities valid for stable states per unit oflight-cone time times a light-cone time-dependent exponential damping functionfor each interacting particle. The exponential function for an incoming(outgoing) either electron/positron or photon at each light-cone timecorresponds to the total probability that either the electron/positron emits aphoton via nonlinear Compton scattering or the photon transforms into anelectron-positron pair via nonlinear Breit-Wheeler pair production until thatlight-cone time (from that light-cone time on). It is interesting that theexponential damping terms depend not only on the particles momentum but also ontheir spin (for electrons/positrons) and polarization (for photons). Thisadditional dependence on the discrete quantum numbers prevents the applicationof the electron/positron spin and photon polarization sum-rules, whichsignificantly simplify the computations in the perturbative regime.

First-order strong-field QED processes including the damping of particles states