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We investigate the dynamics of a charged particle interacting with a multimode quantized electromagnetic field and obtain an analytic solution for the full electron--field system. This framework enables the calculation of position…

An exact solution of the Dirac equation in the presence of an arbitrary electromagnetic plane wave is found, which corresponds to a focused electron wave packet, with the focus of the wave packet moving at the speed of light in the opposite…

High Energy Physics - Phenomenology · Physics 2024-09-24 Antonino Di Piazza , Martin Formanek , Dillon Ramsey , John P. Palastro

Diffusion of electrons in a two-dimensional system in static random magnetic fields is studied by solving the time-dependent Schr\"{o}dinger equation numerically. The asymptotic behaviors of the second moment of the wave packets and the…

Condensed Matter · Physics 2009-10-28 Tohru Kawarabayashi , Tomi Ohtsuki

An electromagnetic wave-packet propagating in a linear, homogeneous, and isotropic medium changes shape while its envelope travels with different velocities at different points in spacetime. In general, a wave-packet can be described as a…

Optics · Physics 2020-08-26 Masud Mansuripur

In the foundation of quantum mechanics, the spatial dimensions of electron wavepacket are understood only in terms of an expectation value - the probability distribution of the particle location. One can still inquire how the quantum…

Quantum Physics · Physics 2018-04-23 Avraham Gover , Yiming Pan

We study the effects of the electromagnetic subvacuum fluctuations on the dynamics of a nonrelativistic charged particle in a wavepacket. The influence from the quantum field is expected to give an additional effect to the velocity…

Quantum Physics · Physics 2015-05-13 Tai-Hung Wu , Jen-Tsung Hsiang , Da-Shin Lee

An analytical approach to quantum mechanical wave packet dynamics of laser-driven particles is presented. The time-dependent Schroedinger equation is solved for an electron exposed to a linearly polarized plane wave of arbitrary shape. The…

Quantum Physics · Physics 2007-05-23 M. Verschl , C. H. Keitel

We study numerically the dynamics of a one-electron wave packet in a two-dimensional random lattice with long-range correlated diagonal disorder in the presence of a uniform electric field. The time-dependent Schr\"{o}dinger equation is…

Disordered Systems and Neural Networks · Physics 2007-05-23 F. A. B. F. de Moura , M. L. Lyra , F. Dominguez-Adame , V. A. Malyshev

By viewing the electron as a wavepacket in the positive energy spectrum of the Dirac equation, we are able to achieve a much clearer understanding of its behavior under weak electromagnetic fields. The intrinsic spin magnetic moment is…

General Physics · Physics 2007-09-11 Chih-Piao Chuu , Ming-Che Chang , Qian Niu

In this paper, we study electron wavepacket dynamics in electric and magnetic fields. We rigorously derive the semiclassical equations of electron dynamics in electric and magnetic fields. We do it both for free electron and electron in a…

Quantum Physics · Physics 2018-05-09 Navin Khaneja

Using a density matrix description in space we study the evolution of wavepackets in a fluctuating space-time background. We assume that space-time fluctuations manifest as classical fluctuations of the metric. From the non-relativistic…

General Relativity and Quantum Cosmology · Physics 2010-04-30 E. Göklü , C. Lämmerzahl , A. Camacho , A. Macias

The problem of the motion of high-energy wave packets combined of free electromagnetic waves is considered. It is demonstrated that the transformation of such packets to the packet of spherically diverging waves happens on long distances…

Accelerator Physics · Physics 2010-11-11 N. F. Shul'ga , V. V. Syshchenko , S. N. Shul'ga

The problem of reduction of the wave packet of a relativistic charged particle by emission of a photon is studied with help of the path integral approach. A general expression for arbitrary order correlation function of the electromagnetic…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. V. Faleev

The coherent interaction between free electrons and optical near-fields enables the active modulation of electron wave packets, a mechanism central to photon-induced near-field electron microscopy (PINEM). While existing theories…

Quantum Physics · Physics 2026-05-12 Mads Brøndum Carlsen , Lars Bojer Madsen

A time-domain approach is proposed for the propagation of ultrashort electro- magnetic wave packets beyond the paraxial and the slowly-varying-envelope approximations. An analytical method based on perturbation theory is used to solve the…

Optics · Physics 2007-05-23 Charles Varin , Michel Piché

We show that combination of a linearly polarized resonant microwave field and a parallel static electric field may be used to create a non-dispersive electronic wavepacket in Rydberg atoms. The static electric field allows for manipulation…

Quantum Physics · Physics 2007-05-23 Dominique Delande , Krzysztof Sacha , Jakub Zakrzewski

Upcoming experiments on the interaction of electrons with intense laser fields are envisaged to become more and more accurate, which calls for theoretical computations of rates and probabilities with correspondingly higher precision. In…

High Energy Physics - Phenomenology · Physics 2021-10-13 A. Di Piazza , T. Pătuleanu

Localization of relativistic particles have been of great research interests over many decades. We investigate the time evolution of the Gaussian wave packets governed by the one dimensional Dirac equation. For the free Dirac equation, we…

Quantum Physics · Physics 2016-05-09 Atis Yosprakob , Sujin Suwanna

In this work we study the dynamics of free 3D relativistic Gaussian wave packets with different spin polarization. We analyze the connection between the symmetry of initial state and the dynamical characteristics of moving particle. The…

Quantum Physics · Physics 2013-05-29 V. Ya. Demikhovskii , G. M. Maksimova , A. A. Perov , E. V. Frolova

We study the nonlinear propagation of electrostatic wave packets in a collisional plasma composed of strongly coupled ions and relativistically degenerate electrons. The equilibrium of ions is maintained by an effective temperature…

Plasma Physics · Physics 2012-02-24 A. P. Misra , P. K. Shukla
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