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We present some comments on Schwinger's calculation of electron-positron production in a prescribed constant electric field. The range of validity of 2 Im \mathcal{L}^(1)(E) is discussed thoroughly and limiting cases are provided.

High Energy Physics - Theory · Physics 2015-06-18 Walter Dittrich

Some commonly used approximations for complete fusion and breakup transmission coefficients in collisions of weakly bound projectiles at near barrier energies are assessed. We show that they strongly depend on the adopted classical…

Nuclear Theory · Physics 2009-11-07 W. H. Z. Cardenas , L. F. Canto , R. Donangelo , M. S. Hussein , J. Lubian , A. Romanelli

We develop a spectral formulation and a stationary WKB approximation for calculating the probabilities of rare events (large deviations from the mean) in systems of reacting particles with infinite-range interaction, describable by a master…

Statistical Mechanics · Physics 2009-11-11 Michael Assaf , Baruch Meerson

Pair-production of magnetic Reissner-Nordstr\"{o}m black holes (of charges $\pm q$) was recently studied in the leading WKB approximation. Here, we consider generic quantum fluctuations in the corresponding instanton geometry given by the…

High Energy Physics - Theory · Physics 2009-10-28 Piljin Yi

We apply the technique of complex paths to obtain Hawking radiation in different coordinate representations of the Schwarzschild space-time. The coordinate representations we consider do not possess a singularity at the horizon unlike the…

General Relativity and Quantum Cosmology · Physics 2016-12-21 S. Shankaranarayanan , K. Srinivasan , T. Padmanabhan

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 present a formalism based on the functional Schr\"odinger equation to analyse time-dependent tunneling in quantum field theory at the semi-classical level. The full problem is reduced step by step to a finite dimensional quantum…

High Energy Physics - Theory · Physics 2019-11-27 Luc Darmé , Joerg Jaeckel , Marek Lewicki

Pair-production of magnetic Reissner-Nordstr\"{o}m black holes (of charges $\pm q$) is studied in the next-to-leading WKB approximation. We consider generic quantum fluctuations in the corresponding instanton geometry, a detailed study of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Piljin Yi

Non-perturbative electron-positron pair creation (Schwinger effect) is studied based on the equal-time Wigner formalism in 1+1 dimensions. An ab initio calculation of the Schwinger effect in the presence of a simple space- and…

High Energy Physics - Phenomenology · Physics 2011-11-11 Florian Hebenstreit , Reinhard Alkofer , Holger Gies

In this thesis, we develop WKB techniques for the finite difference Schrodinger equation, following the construction of the WKB approach for the standard differential Schrodinger equation. In particular, we will develop an all-order WKB…

Mathematical Physics · Physics 2024-10-23 Salvatore Baldino

The production of electron-positron pairs in time-dependent electric fields (Schwinger mechanism) depends non-linearly on the applied field profile. Accordingly, the resulting momentum spectrum is extremely sensitive to small variations of…

High Energy Physics - Phenomenology · Physics 2015-12-23 Florian Hebenstreit

Quantum kinetic theory is an important tool for studying non-equilibrium, non-perturbative and non-linear interactions within an open quantum system, and as such is able to provide an unprecedented view on particle production in the…

High Energy Physics - Phenomenology · Physics 2025-08-12 James P. Edwards , Naser Ahmadiniaz , Sebastian M. Schmidt , Christian Kohlfürst

This paper proposes a basic method for understanding stationary particle production on manifolds by means of the Stokes phenomenon. We studied the Stokes phenomena of the Schwinger effect, the Unruh effect and Hawking radiation in detail…

High Energy Physics - Theory · Physics 2023-12-15 Tomohiro Matsuda

Sauter-Schwinger pair creation in electromagnetic fields is a fundamental prediction of QED and one of the motivations for the present efforts in constructing super-strong lasers. I will give a historical review of the subject, and then…

High Energy Physics - Phenomenology · Physics 2024-06-21 Christian Schubert

The complex-time method for quantum tunneling is studied. In one-dimensional quantum mechanics, we construct a reduction formula for a Green function in the number of turning points based on the WKB approximation. This formula yields a…

High Energy Physics - Theory · Physics 2010-11-01 Hideaki Aoyama , Toshiyuki Harano

Analogue models of gravity have been motivated by the possibility of investigating phenomena not readily accessible in their cosmological counterparts. In this paper, we investigate the analogue of cosmological particle creation in a…

Other Condensed Matter · Physics 2007-10-01 Piyush Jain , Silke Weinfurtner , Matt Visser , C. W. Gardiner

In this paper we show how the nonlocal effective action for gravity, obtained after integrating out the matter fields, can be used to compute particle production and spectra for different space-time metrics. Applying this technique to…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Antonio Dobado , Antonio L. Maroto

Reformulating the instantons in a complex plane for tunneling or transmitting states, we calculate the pair-production rate of charged fermions in a spatially localized electric field, illustrated by the Sauter electric field E_0 sech^2…

High Energy Physics - Theory · Physics 2008-11-26 Sang Pyo Kim , Don N. Page

We derive a semiclassical approximation for the evolution generated by the Lindblad equation as a generalization of complex WKB theory. Linear coupling to the environment is assumed, but the Hamiltonian can be a general function of…

Quantum Physics · Physics 2015-05-13 O. Brodier , A. M. Ozorio de Almeida

Input-output theory is a well-known tool in quantum optics and ubiquitous in the description of quantum systems probed by light. Owing to the generality of the setup it describes, the theory finds application in a wide variety of…

Quantum Physics · Physics 2026-04-30 Aaron Daniel , Matteo Brunelli , Aashish A. Clerk , Patrick P. Potts
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