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A new method for predicting inflationary cosmological perturbations, based on the Wentzel-Kramers-Brillouin (WKB) approximation, is presented. A general expression for the WKB scalar and tensor power spectra is derived. The main advantage…

Astrophysics · Physics 2009-11-07 Jerome Martin , Dominik J. Schwarz

We propose an analytical approach to high-harmonic generation (HHG) for nonperturbative low-frequency and high-intensity fields based on the (Jeffreys-)Wentzel-Kramers-Brillouin (WKB) approximation. By properly taking into account Stokes…

Strongly Correlated Electrons · Physics 2022-01-05 Hidetoshi Taya , Masaru Hongo , Tatsuhiko N. Ikeda

The phenomenon of gravitational particle production can take place for quantum fields in curved spacetime. The abundance and energy spectrum of gravitationally produced particles is typically calculated by solving the field's mode equations…

High Energy Physics - Theory · Physics 2022-10-19 Soichiro Hashiba , Siyang Ling , Andrew J. Long

While the Sauter-Schwinger effect describes nonperturbative electron-positron pair creation from vacuum by a strong and slowly varying electric field $E_{\mathrm{strong}}$ via tunneling, the dynamically assisted Sauter-Schwinger effect…

High Energy Physics - Theory · Physics 2015-10-13 Malte F. Linder , Christian Schneider , Joachim Sicking , Nikodem Szpak , Ralf Schützhold

We describe a method of construction of gauge-invariant operators (Dirac observables or ``evolving constants of motion'') from the knowledge of the eigenstates of the gauge generator in time-reparametrization invariant mechanical systems.…

General Relativity and Quantum Cosmology · Physics 2020-04-07 Leonardo Chataignier

Real-time quantum simulation of quantum field theory in (3+1)D requires large quantum computing resources. With a few-qubit quantum computer, we develop a novel algorithm and experimentally study the Schwinger effect, the electron-positron…

Quantum Physics · Physics 2022-12-28 Bin Xu , Wei Xue

In this paper we calculate pair production from bremsstrahlung as a classical effect in Stueckelberg-Horwitz-Piron electrodynamics. In this framework, worldlines are traced out dynamically through the evolution of events $x^\mu(\tau)$…

General Physics · Physics 2017-06-28 Martin Land

This paper discusses how particle production from the vacuum can be explained by local analysis when the field theory is defined by differential geometry on curved manifolds. We have performed the local analysis in a mathematically rigorous…

High Energy Physics - Theory · Physics 2025-07-25 Tomohiro Matsuda

We study the particle creation process in the Schwinger model coupled with an external classical source. One can approach the problem by taking advantage that the full quantized model is solvable and equivalent to a (massive) gauge field…

High Energy Physics - Theory · Physics 2022-11-29 José Navarro-Salas , Silvia Pla

We investigate a quantum mechanical system on a noncommutative space for which the structure constant is explicitly time-dependent. Any autonomous Hamiltonian on such a space acquires a time-dependent form in terms of the conventional…

Quantum Physics · Physics 2014-10-15 Sanjib Dey , Andreas Fring

We study Schwinger pair creation of charged Kaluza-Klein particles from a static KK electric field. We find that the gravitational backreaction of the electric field on the geometry - which is incorporated via the electric KK Melvin…

High Energy Physics - Theory · Physics 2009-11-07 Tamar Friedmann , Herman Verlinde

An in-in framework under Schwinger pair creating fields in strong-field quantum electrodynamics is formulated using in-out propagators in coordinate space, that have first-quantized or worldline representation. The framework is derived to…

High Energy Physics - Theory · Physics 2025-12-23 Patrick Copinger , Shi Pu

In this article, we review recent theoretical works on the Schwingermechanism of particle production in external electrical fields. Although the non-perturbative Schwinger mechanism is at the center of this discussion, many of the…

High Energy Physics - Phenomenology · Physics 2016-02-17 Francois Gelis , Naoto Tanji

We have developed a complete semiclassical Wentzel-Kramers-Brillouin (WKB) theory for $\alpha-\mathcal{T}_3$ model which describes a wide class of existing pseudospin-1 Dirac cone materials. By expanding the sought wave functions in a…

Mesoscale and Nanoscale Physics · Physics 2023-02-01 Kathy Blaise , Chinedu Ejiogu , Andrii Iurov , Liubov Zhemchuzhna , Godfrey Gumbs , Danhong Huang

We investigate the curved-spacetime dynamics of charged spin-$\frac{1}{2}$ particles minimally coupled to the electromagnetic field and propagating in superposed states of different masses. For that purpose, we make use of a…

High Energy Physics - Phenomenology · Physics 2025-04-24 F. Hammad , R. Saadati , M. Simard , S. Novoa-Cattivelli

We propose an extension of Wenzel-Kramers-Brillouin (WKB) approximation for solving the Schr\"odinger equation. A set of coupled differential equations is obtained by considering an ansatz of the wave function with an auxiliary condition on…

Quantum Physics · Physics 2025-04-01 Yu-An Tsai , Sheng D. Chao

We investigate the Schwinger pair creation process in the context of gravitational models with the back reaction of the electric field included in the geometry. The background is also an exact solution of type II superstring theory, where…

High Energy Physics - Theory · Physics 2009-03-19 Jorge G. Russo

A conformal transformation of a static or stationary spacetime by a time dependent conformal scale factor ${S(\tau )}^2$ is one of the methods of producing a cosmological spacetime. Using this knowledge and Brans-Dicke (BD) field equations,…

General Relativity and Quantum Cosmology · Physics 2023-12-07 Dilek K. Çiftci , Ali Demirözlü

For Schwinger pair production with background electric fields varying only in time, it is shown that the quantum kinetic approach, based on the quantum Vlasov equation, and the quantum mechanical scattering approach, are completely…

High Energy Physics - Theory · Physics 2010-05-12 Cesim K. Dumlu

A new method based on Synge's world function is developed for determining within the WKB approximation the gravitationally induced quantum phase shift of a particle propagating in a stationary spacetime. This method avoids any calculation…

General Relativity and Quantum Cosmology · Physics 2011-08-10 Bernard Linet , Pierre Teyssandier
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