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Due to the spin-orbital coupling in a semiconductor quantum dot, a freely precessing electron spin produces a time-dependent charge density. This creates a sizeable electric field outside the dot, leading to promising applications in…

Mesoscale and Nanoscale Physics · Physics 2008-04-12 L. S. Levitov , E. I. Rashba

A Lorentz-covariant system of wave equations is formulated for a quantum-mechanical three-body system in one space dimension, comprised of one photon and two identical massive spin one-half Dirac particles, which can be thought of as two…

Mathematical Physics · Physics 2024-11-13 Lawrence Frolov , Samuel E. Leigh , A. Shadi Tahvildar-Zadeh

It is shown that the electron scattering by static defects, acoustic or optical phonons in quantum wells subjected to an in-plane magnetic field is asymmetric. The probability of scattering contains terms which are proportional to both the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 S. A. Tarasenko

We study the formation and characteristics of "spin droplets",i.e., compact spin-polarized configurations in the highest occupied Landau level, in an etched quantum Hall device at filling factors $2\leq\nu\leq3$. The confining potential for…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 H. Atci , U. Erkarslan , A. Siddiki , E. Rasanen

For an electron, a spin-1/2 particle, the spin charge $\mathbf{s}$, a real pseudovector with constant length, could determine the spin polarization properties in quantum mechanics. Since spin density $\rho_{\mathbf{s}}$ could be expressed…

Mesoscale and Nanoscale Physics · Physics 2009-04-28 Xiang Zhou , Zhenyu Zhang , Cheng-Zheng Hu

This article examines the suggestion made in Ref. [EPL, 115 (2016) 60001] that a solution to a particle in an infinite spherical well model, if it is square-integrable, is a physically valid solution, even if at the precise location of the…

Quantum Physics · Physics 2020-12-02 Jorge Munzenmayer , Derek Frydel

Partial solutions of the Dirac equation describing an electron motion in electromagnetic crystals created by plane waves with linear and circular polarizations are treated. It is shown that the electromagnetic crystal formed by circularly…

Quantum Physics · Physics 2014-10-22 G. N. Borzdov

We examine the nonperturbative effect of maximum momentum on the relativistic wave equations. In momentum representation, we obtain the exact eigen-energies and wavefunctions of one-dimensional Klein-Gordon and Dirac equation with linear…

High Energy Physics - Theory · Physics 2015-06-17 Chee Leong Ching , Wei Khim Ng

A special non-linear equation of curvilinear electromagnetic wave is presented. The particularity of this equation lies in the fact that in matrix form it is mathematically equivalent to the Dirac electron equation. It is shown that the…

Mathematical Physics · Physics 2007-05-23 Alexander G. Kyriakos

A novel interpretation is given of Dirac's "wave equation for the relativistic electron" as a quantum-mechanical one-particle equation. In this interpretation the electron and the positron are merely the two different "topological spin"…

Mathematical Physics · Physics 2016-03-04 M. K. -H. Kiessling , A. Shadi Tahvildar-Zadeh

Electromagnetic waves are described by not only polarization ellipses but also cyclically rotating vectors tracing out them. The corresponding fields are respectively directionless steady line fields and directional instantaneous vector…

Optics · Physics 2025-02-18 Chunchao Wen , Jianfa Zhang , Chaofan Zhang , Shiqiao Qin , Zhihong Zhu , Wei Liu

We present the analytical theory of the electromagnon resonance for the multiferroics of spin origin. We consider the spin density evolution under the influence of magnetoelectric coupling in the presence of the electromagnetic wave. The…

Materials Science · Physics 2025-06-23 Pavel A. Andreev , Mariya Iv. Trukhanova

The magnetic focusing of electrons has proven its utility in fundamental studies of electron transport. Here we report the direct imaging of magnetic focusing of electron waves, specifically in a two-dimensional electron gas (2DEG). We see…

Mesoscale and Nanoscale Physics · Physics 2007-08-08 K. E. Aidala , R. E. Parrott , T. Kramer , E. J. Heller , R. M. Westervelt , M. P. Hanson , A. C. Gossard

We consider a single electron traveling along a strictly one-dimensional quantum wire interacting with another electron in a quantum ring capacitively coupled to the wire. We develop an exact numerical method for treating the scattering…

Mesoscale and Nanoscale Physics · Physics 2016-11-25 M. R. Poniedziałek , B. Szafran

Universal properties of spin-Hall effect in ballistic 2D electron systems are addressed. The net spin polarization across the edge of the conductor is second order, ~\lambda^2, in spin-orbit coupling constant independent of the form of the…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 V. A. Zyuzin , P. G. Silvestrov , E. G. Mishchenko

Intensities in high-resolution phase-contrast images from electron microscopes build up discretely in time by detecting single electrons. A wave description of pulse-like coherent-inelastic interaction of an electron with matter is detailed…

Materials Science · Physics 2024-04-23 Christian Kisielowski , Petra Specht , Joerg R. Jinschek , Stig Helveg

A shallow potential well in a near-perfect quantum wire will bind a single-electron and behave like a quantum dot, giving rise to spin-dependent resonances of propagating electrons due to Coulomb repulsion and Pauli blocking. It is shown…

Mesoscale and Nanoscale Physics · Physics 2008-04-02 J. H. Jefferson , A. Ramsak , T. Rejec

Spin-momentum locking is an intrinsic property of surface electromagnetic fields and its study has led to the discovery of photonic spin lattices and diverse applications. Previously, dispersion was ignored in the spin-momentum locking,…

Optics · Physics 2022-06-08 Peng Shi , Xinrui Lei , Qiang Zhang , Heng Li , Luping Du , Xiaocong Yuan

The dynamical characteristics of electromagnetic fields include energy, momentum, angular momentum (spin) and helicity. We analyze their spatial distributions near the planar interface between two transparent and non-dispersive media, when…

Optics · Physics 2018-03-20 Aleksandr Bekshaev

A recently proposed model of the Dirac electron, which describes observed properties of the particle correctly, is in the present paper shown to be also able to explain quantum interference by classical probabilities. According to this…

General Physics · Physics 2019-05-01 Arend Niehaus
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