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A non relativistic electron with a spin is described by Pauli's equation. It has been shown that this system can be interpreted as a vortical fluid which has both similarities and differences with classical ideal flows. Moreover, it was…

Other Condensed Matter · Physics 2022-08-02 Asher Yahalom

We develop a microscopic theory of spin relaxation of a two-dimensional electron gas in quantum wells with anisotropic electron scattering. Both precessional and collision-dominated regimes of spin dynamics are studied. It is shown that, in…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 A. V. Poshakinskiy , S. A. Tarasenko

(Talk presented at the 7th Marcel Grossmann Meeting on General Relativity, Stanford, CA, July 24-30, 1994) We study the semi-classical limit of the solution of the Dirac equation in a background electromagnetic/gravitational plane wave. We…

High Energy Physics - Theory · Physics 2007-05-23 Stamatis Vokos

Scattering of electromagnetic (EM) waves by many small particles (bodies) embedded in a homogeneous medium is studied. Physical properties of the particles are described by their boundary impedances. The limiting equation is obtained for…

Mathematical Physics · Physics 2011-01-18 A. G. Ramm

We theoretically describe the spin excitation spectrum of a two dimensional electron gas embedded in a quantum well with localized magnetic impurities. Compared to the previous work, we introduce equations that allow to consider the…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Florent Perez , Joel Cibert , Masha Vladimirova , Denis Scalbert

The main source of decoherence for an electron spin confined to a quantum dot is the hyperfine interaction with nuclear spins. To analyze this process theoretically we diagonalize the central spin Hamiltonian in the high magnetic B-field…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Oleksandr Tsyplyatyev , Daniel Loss

This paper investigates solitary water waves propagating along the surface of a two-dimensional dielectric fluid with constant vorticity in the presence of an external electric field. We formulate the system as a nonlinear free boundary…

Analysis of PDEs · Mathematics 2026-04-28 Tingting Feng , Yong Zhang , Zhitao Zhang

The relativistic electron vortex beam (REVB) has attracted increasing attention due to its nontrivial spin-orbit structure recently. As relativistic electrons are governed by the Dirac equation, exact solutions to this equation provide the…

Quantum Physics · Physics 2025-07-14 Zhongze Guo , Bei Xu , Qiang Gu

Electrons have three quantized properties -- charge, spin, and Fermi statistics -- that are directly responsible for a vast array of phenomena. Here we show how these properties can be coherently and dynamically stripped from the electron…

Strongly Correlated Electrons · Physics 2014-11-13 Maissam Barkeshli , Erez Berg , Steven Kivelson

We systematically investigate the universal spin decoherence dynamics of a localized electron in an arbitrary nuclear spin bath, which can be even far away from equilibrium due to the weak nuclear-lattice interaction. We show that the…

Mesoscale and Nanoscale Physics · Physics 2008-06-27 Yi-Ya Tian , Pochung Chen , Daw-Wei Wang

The Zeeman-split spin-states of a single electron confined in a self-assembled quantum dot provide an optically-accessible spin qubit. For III-V materials the nuclear spins of the solid-state host provide an intrinsic noise source,…

Quantum Physics · Physics 2015-12-14 R. Stockill , C. Le Gall , C. Matthiesen , L. Huthmacher , E. Clarke , Maxime Hugues , M. Atature

Recent time-resolved differential transmission and Faraday rotation measurements of long-lived electron spin coherence in quantum wells displayed intriguing parametric dependencies. For their understanding we formulate a microscopic theory…

Other Condensed Matter · Physics 2008-04-16 N H. Kwong , S. Schumacher , R. Binder

We demonstrate that non-equilibrium electrons in thin nonmagnetic semiconductor layers or quantum dots can be fully spin polarized by means of simultaneous electrical spin injection and extraction. The complete spin polarization is achieved…

Other Condensed Matter · Physics 2009-11-11 V. V. Osipov , A. G. Petukhov , V. N. Smelyanskiy

This review describes the physics of spins in quantum dots containing one or two electrons, from an experimentalist's viewpoint. Various methods for extracting spin properties from experiment are presented, restricted exclusively to…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 R. Hanson , L. P. Kouwenhoven , J. R. Petta , S. Tarucha , L. M. K. Vandersypen

Quantum hydrodynamic (QHD) model of charged spin-1/2 particles contains physical quantities defined for all particles of a species including particles with spin-up and with spin-down. Different population of states with different spin…

Plasma Physics · Physics 2015-04-01 Pavel A. Andreev

We review recent studies on spin decoherence of electrons and holes in quasi-two-dimensional quantum dots, as well as electron-spin relaxation in nanowire quantum dots. The spins of confined electrons and holes are considered major…

Mesoscale and Nanoscale Physics · Physics 2009-07-28 Jan Fischer , Mircea Trif , W. A. Coish , Daniel Loss

We study electron spin dynamics in diluted magnetic quantum wells. The electrons are coupled by exchange interaction with randomly distributed magnetic ions polarized by magnetic field. This coupling leads to both spin relaxation and spin…

Mesoscale and Nanoscale Physics · Physics 2010-10-21 P. M. Shmakov , A. P. Dmitriev , V. Yu. Kachorovskii

The traditional Standard Quantum Mechanics is unable to solve the Spin-Statistics problem, i.e. to justify the utterly important Pauli Exclusion Principle. We show that this is due to the non completeness of the standard theory due to an…

Quantum Physics · Physics 2014-08-06 Enrico Santamato , Francesco De Martini

A spin wave is the disturbance of intrinsic spin order in magnetic materials. In this paper, a spin wave in the Landau-Lifshitz-Gilbert equation is obtained based on the assumption that the spin wave maintains its shape while it propagates…

Mesoscale and Nanoscale Physics · Physics 2019-10-25 Zhiwei Sun , Jingrun Chen

The recent literature shows a renewed interest, with various independent approaches, in the classical theories for spin. Considering the possible interest of those results, at least for the electron case, we purpose in this paper to explore…

Quantum Physics · Physics 2015-06-26 M. Pavsic , Erasmo Recami , W. A. Rodrigues