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General relativistic quantum dynamics of twisted (vortex) Dirac particles is constructed. The Hamiltonian and equations of motion in the Foldy-Wouthuysen representation are derived for a twisted relativistic electron in arbitrary electric…

Classical Physics · Physics 2019-02-20 Alexander J. Silenko , Pengming Zhang , Liping Zou

Classical Electrodynamics is not a consistent theory because of its field inadequate behaviour in the vicinity of their sources. Its problems with the electron equation of motion and with non-integrable singularity of the electron self…

High Energy Physics - Theory · Physics 2008-02-03 Manoelito M. de Souza

A fundamentally new understanding of the classical electromagetic interaction of a point charge and a magnetic moment through order second order in 1/c is suggested. This relativistic analysis connects together hidden momentum in magnets,…

Classical Physics · Physics 2007-05-23 Timothy H. Boyer

Low-lying energy levels of two interacting electrons confined in a two-dimensional parabolic quantum dot in the presence of an external magnetic field have been revised within the frame of a novel model. The present formalism, which gives…

Quantum Physics · Physics 2009-10-11 Bulent Gonul , Ebru Bakir , Koray Koksal

Spin-orbit interaction couples electron spins to electric fields and allows electrical monitoring of electron spins and electrical detection of spin dynamics. Competing mechanisms of spin-orbit interaction are compared, and optimal…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Emmanuel I. Rashba

A neo-classical relativistic mechanics theory is presented where the spin of an electron is a natural part of its space-time path as a point particle. The fourth-order equation of motion corresponds to the same Lagrangian function in proper…

Quantum Physics · Physics 2024-02-13 James L. Beck

We revisit the classical theory of a relativistic massless charged point particle with spin and interacting with an external electromagnetic field. In particular, we give a proper definition of its kinetic energy and its total energy, the…

High Energy Physics - Theory · Physics 2017-12-27 Ivan Morales , Bruno Neves , Zui Oporto , Olivier Piguet

The electron motion in rather strong magnetic fields (when only the lowest Landau level is populated) is considered. In this case the electron kinetic energy is frozen out and the electrons are guided by slowly varied potential. Using the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Matulis

Motivated by recent interest in relativistic electron vortex states, we revisit the spin and orbital angular momentum properties of Dirac electrons. These are uniquely determined by the choice of the position operator for a relativistic…

Quantum Physics · Physics 2017-08-31 Konstantin Y. Bliokh , Mark R. Dennis , Franco Nori

Recently there have been suggestions that the Lorentz force law is inconsistent with special relativity. This is difficult to understand, since Einstein invented relativity in order to reconcile electrodynamics with mechanics. Here we…

Classical Physics · Physics 2012-08-24 Kimball A. Milton , Giulio Meille

The effect of the electron's anomalous magnetic moment on the relativistic electronic dressing for the process of electron-hydrogen atom elastic collisions is investigated. We consider a laser field with circular polarization and various…

Atomic Physics · Physics 2014-11-20 S. Elhandi , S. Taj , Y. attaourti , B. Manaut , L. Oufni

We study the dynamics of momentum entanglement generated in the lowest-order QED interaction between two massive spin-1/2 charged particles, which grows in time as the two fermions exchange virtual photons. We observe that the degree of…

Quantum Physics · Physics 2009-11-11 L. Lamata , J. Leon , E. Solano

We investigate theoretically the spin-spin interaction of two-electrons in vertically coupled QDs as a function of the angle between magnetic field and growth axis. Our numerical approach is based on a real-space description of…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Devis Bellucci , Massimo Rontani , Guido Goldoni , Filippo Troiani , Elisa Molinari

If the assumption that the center of mass(CM) and the center of charge(CC) of the electron are two different points was stated 100 years ago, our conceptual ideas about elementary particles would be different. This assumption is only…

History and Philosophy of Physics · Physics 2012-12-03 Martin Rivas

A change of quantum states for a quantum particle may lead to a change of physical field it exerts to the environment. We discuss such Gedankenexperiment for measuring the magnetic dipole fields associated with the electronic spins. When…

Quantum Physics · Physics 2022-09-26 Jianda Wu , Wenxin Ding

A new relativistic description of quantum electrodynamics is presented. Guideline of the theory is the Klein-Gordon equation, which is reformulated to consider spin effects. This is achieved by a representation of relativistic vectors with…

High Energy Physics - Theory · Physics 2018-10-23 S. Ulrych

Strong rotating magnetic fields may cause a precession of the electron's spin around the rotation axis of the magnetic field. The superposition of two counterpropagating laser beams with circular polarization and opposite helicity features…

Quantum Physics · Physics 2014-10-17 Sven Ahrens , Heiko Bauke , Christoph H. Keitel , Rainer Grobe

A theoretical description of vortex electrons interacting with electric and magnetic fields is presented, based on Lorentz transformations. The general dynamical equations of motion of a twisted electron with intrinsic orbital angular…

General Physics · Physics 2018-01-04 Alexander J. Silenko , Pengming Zhang , Liping Zou

The exact solution of the Dirac equation and the spectrum of electron quasi-energies in a superposition of the field of a circularly polarized electromagnetic wave and a homogeneous magnetic field parallel to the direction of wave…

Accelerator Physics · Physics 2007-05-23 R. A. Melikian , D. P. Barber

We study a mean-field relativistic model which is able to describe both the behavior of finitely many spin-1/2 particles like electrons and of the Dirac sea which is self-consistently polarized in the presence of the real particles. The…

Atomic Physics · Physics 2009-11-13 Christian Hainzl , Mathieu Lewin , Eric Sere , Jan Philip Solovej