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The Hamiltonian formulation of the motion of a spinning relativistic particle in an external electromagnetic field is considered. The approach is based on the introduction of new coordinates and their conjugated momenta to describe the spin…

High Energy Physics - Theory · Physics 2014-11-18 M. Chaichian , R. Gonzalez Felipe , D. Louis Martinez

The behaviour of an electron in a potential that resembles that of a bidimensional solid with a perpendicular magnetic field applied is studied from a classical point of view. This problem presents the standard features of chaos and some…

On this article there are presented the main results of the theory of electron phenomena in an unordered condensed matter that can be described as an inhomogeneously deformed crystalline lattice with dislocations. The one-electron effective…

Condensed Matter · Physics 2007-05-23 Ilya M. Dubrovskii

We calculate numerically the radiation spectrum from relativistic electrons moving in small scale turbulent magnetic fields expected in high energy astrophysical sources. Such radiation spectrum is characterized by the strength parameter $a…

High Energy Astrophysical Phenomena · Physics 2015-05-28 Yuto Teraki , Fumio Takahara

Many astrophysical sources radiate via synchrotron emission from relativistic electrons. The electrons give off their kinetic energy as radiation and this radiative loss modifies the electron energy distribution. An analytical treatment of…

High Energy Astrophysical Phenomena · Physics 2015-03-18 Siddharth Malik

In a solid, electrons can be scattered both by phonons and other electrons. First proposed by Landau, scattering by phonons can lead to a composite entity called a polaron, in which a lattice distortion traps an itinerant electron (or hole)…

Materials Science · Physics 2023-01-18 Yunfan Liang , Min Cai , Lang Peng , Zeyu Jiang , Damien West , Ying-Shuang Fu , Shengbai Zhang

The stability of matter composed of electrons and static nuclei is investigated for a relativistic dynamics for the electrons given by a suitably projected Dirac operator and with Coulomb interactions. In addition there is an arbitrary…

Statistical Mechanics · Physics 2009-10-28 Elliott H. Lieb , Heinz Siedentop , Jan Philip Solovej

We develop the concept of scattering matrix and we use it to perform stable numerical calculations of resonant tunneling of electrons through a multiple potential barrier in a semiconductor heterostructure. Electrons move in two external…

Quantum Physics · Physics 2023-07-19 J. Z. Kaminski , E. Saczuk

The relative motion of a classical relativistic spinning test particle is studied with respect to a nearby free test particle in the gravitational field of a rotating source. The effects of the spin-curvature coupling force are elucidated…

General Relativity and Quantum Cosmology · Physics 2011-07-19 C. Chicone , B. Mashhoon , B. Punsly

The electron spin transport in condensed matter, Spintronics, is a subject of rapidly growing interest both scientifically and from the point of view of applications to modern and future electronics. In many cases the electron spin…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Israel D. Vagner

In a pristine monolayer graphene subjected to a constant electric field along the layer, the Bloch oscillation of an electron is studied in a simple and efficient way. By using the electronic dispersion relation, the formula of a…

Mesoscale and Nanoscale Physics · Physics 2018-09-11 Tongyun Huang , Ruofan Chen , Tianxing Ma , Li-Gang Wang , Hai-Qing Lin

The ``flow'' of electric currents and heat in standard metals is diffusive with electronic motion randomized by impurities. However, for ultraclean metals, electrons can flow like water with their flow being described by the equations of…

Strongly Correlated Electrons · Physics 2023-03-28 Lars Fritz , Thomas Scaffidi

A charge motion in an electric field in a Holstein molecular chain is modeled in the absence of dissipation. It is shown that in a weak electric field a Holstein polaron moves uniformly experiencing small oscillations of its shape. These…

Mesoscale and Nanoscale Physics · Physics 2013-04-04 V. D. Lakhno , A. N. Korshunova

Electron transport through a nanostructure can be characterized in part using concepts from classical fluid dynamics. It is thus natural to ask how far the analogy can be taken, and whether the electron liquid can exhibit nonlinear…

Mesoscale and Nanoscale Physics · Physics 2013-08-27 Neil Bushong , John Gamble , Massimiliano Di Ventra

Particle acceleration in relativistic shocks of electron-positron plasmas with proton admixture is investigated through two-dimensional (2D) particle-in-cell (PIC) simulations. The upstream plasma, with a bulk Lorentz factor of $10$ and a…

High Energy Astrophysical Phenomena · Physics 2025-10-02 Huan Yu , Qi Xia , Jun Fang

We examine the motion of a relativistic charged particle in a constant magnetic field perturbed by gravitational waves incident along the direction of the magnetic field. We apply a generalized energy conservation law to compute the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. W. van Holten

The relativistic two-body problem is considered for spinless particles subject to an external macroscopic electromagnetic field. When this field is made of the monochromatic superposition of two counter-propagating plane waves (and provided…

High Energy Physics - Theory · Physics 2016-05-27 Philippe Droz-Vincent

The coupled system of Boltzman equations for the interacting system of electrons, positrons and photons in high external electric, E, and arbitrary magnetic, H, fields is solved. The consideration is made under the conditions of arbitrary…

Quantum Physics · Physics 2007-05-23 T. M. Gassym

The growing library of two-dimensional layered materials is providing researchers with a wealth of opportunity to explore and tune physical phenomena at the nanoscale. Here, we review the experimental and theoretical state-of-art concerning…

Materials Science · Physics 2016-11-23 Bálint Náfrádi , Mohammad Choucair , László Forró

The Van Allen radiation belts contain relativistic electrons trapped by Earth's magnetic field, posing serious risks to spacecraft. Chorus waves are known to accelerate these electrons via resonant interactions, but these interactions are…

Space Physics · Physics 2025-07-28 Xin Tao , Zeyu An , Fulvio Zonca , Liu Chen , Jacob Bortnik