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We present a semiclassical analysis for Dirac fields on an arbitrary spacetime background and in the presence of a fixed electromagnetic field. Our approach is based on a Wentzel-Kramers-Brillouin approximation, and the results are analyzed…

General Relativity and Quantum Cosmology · Physics 2023-02-16 Marius A. Oancea , Achal Kumar

We describe aspects of particle creation in strong fields using a quantum kinetic equation with a relaxation-time approximation to the collision term. The strong electric background field is determined by solving Maxwell's equation in…

Nuclear Theory · Physics 2007-05-23 A. V. Prozorkevich , D. V. Vinnik , S. M. Schmidt , M. B. Hecht , C. D. Roberts

There are constructed exact solutions of the quantum-mechanical equation for a spin S=1 particle in 2-dimensional Riemannian space of constant negative curvature, hyperbolic plane, in presence of an external magnetic field, analogue of the…

Mathematical Physics · Physics 2011-10-13 E. M. Ovsiyuk , O. V. Veko

We study the classical and quantum motion of a relativistic charged particle on the spacetime produced by a global monopole. The self-potential, which is present in this spacetime, is considered as an external electrostatic potential. We…

High Energy Physics - Theory · Physics 2007-05-23 A. A. Rodrigues Sobreira , E. R. Bezerra de Mello

Exact solutions of the Dirac equation in external electromagnetic background fields are very helpful for understanding non-perturbative phenomena in quantum electrodynamics (QED). However, for the limited set of known solutions, the field…

High Energy Physics - Theory · Physics 2016-03-24 Johannes Oertel , Ralf Schützhold

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

The generalized Dirac equation of the second order, describing particles with spin 1/2 and two mass states, is analyzed. The projection operators extracting states with definite energy and spin projections are obtained. The first order…

Quantum Physics · Physics 2008-11-26 S. I. Kruglov

As a continuation of previous investigations, the formalism used there is extended to the case when an external electric field is present and the covariant formulation is performed again. The equation system obtained allows no restriction…

History and Philosophy of Physics · Physics 2007-05-23 Cornelius Lanczos

We compute the expectations of the squares of the electric and magnetic fields in the vacuum region outside a half-space filled with a uniform non-dispersive dielectric. This gives predictions for the Casimir-Polder force on an atom in the…

High Energy Physics - Theory · Physics 2008-11-26 Adam D. Helfer , Andrew S. I. D. Lang

A semiclassical Foldy--Wouthuysen transformation of the Dirac equation is used to obtain the radiationless Bloch equation for the polarisation density.

Accelerator Physics · Physics 2007-05-23 K. Heinemann , D. P. Barber

The purpose of this work in to analyze particle creation in spaces with extra dimensions. We consider, in particular, a massive scalar field propagating in a Kaluza-Klein manifold subject to a constant electric field. We compute the rate of…

High Energy Physics - Theory · Physics 2018-05-01 Guglielmo Fucci

We solve the time evolution of the density matrix both for fermions and bosons in the presence of a homogeneous but time dependent external electric field. The number of particles produced by the external field, as well as their…

High Energy Physics - Theory · Physics 2009-10-28 Joakim Hallin , Per Liljenberg

In this manuscript, we study the relativistic quantum mechanics of an electron in external fields in the spinning cosmic string spacetime. We obtain the Dirac equation, write the first and second-order equations from it, and then we solve…

High Energy Physics - Theory · Physics 2020-06-12 Márcio M. Cunha , Edilberto O. Silva

Electromagnetic soliton-particle with both quasi-static and quick-oscillating wave parts is considered. Its mass, spin, charge, and magnetic moment appear naturally when the interaction with distant solitons is considered. The…

General Physics · Physics 2013-12-20 Alexander A. Chernitskii

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 temporal growth and spatial propagation of quantum correlations in a two-dimensional bilayer realising a spin-1/2 quantum XXZ model with couplings mediated by long-range and anisotropic dipolar interactions. Starting with an…

Quantum Physics · Physics 2023-07-21 Thomas Bilitewski , G. A. Domínguez-Castro , David Wellnitz , Ana Maria Rey , Luis Santos

We calculate the Wigner function for massive spin-1/2 particles in an inhomogeneous electromagnetic field to leading order in the Planck constant $\hbar$. Going beyond leading order in $\hbar$ we then derive a generalized Boltzmann equation…

High Energy Physics - Phenomenology · Physics 2019-10-02 Nora Weickgenannt , Xin-li Sheng , Enrico Speranza , Qun Wang , Dirk H. Rischke

Particle production in cosmology is often efficiently computed in terms of Bogoliubov transforms. Restricting to a particular class of dispersion relationships, we identify a map between the number of particles produced in a special…

High Energy Physics - Theory · Physics 2025-06-18 Daniel J. H. Chung , Nidhi Sudhir

We explore the effect of the external magnetic and Aharonov-Bohm (AB) flux fields on the energy levels of Dirac particle subjects to mixed scalar and vector anharmonic oscillator field in the two-dimensional (2D) space. We calculate the…

Quantum Physics · Physics 2014-02-03 Majid Hamzavia , Sameer M. Ikhdair , Babatunde J. Falaye

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