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The interaction between freely propagating electrons and light waves is typically described using an approximation in which we assume that the electron velocity remains approximately the same during the interaction. In this article we…

Quantum Physics · Physics 2025-03-06 Marek Kuchař , Kamila Moriová , Martin Kozák

It is shown that, in Dirac theory, there is a spatial velocity of a free electron which commutes with the Hamiltonian, so it is a conserved quantity of the motion. Furthermore, there is a spatial orbital angular momentum which also commutes…

General Physics · Physics 2007-05-23 Lu Lin

The study of this paper demonstrates that electron has Dirac delta like internal momentum (u,p_{{\theta}}), going round in a circle of radius equal to half the reduced Compton wavelength of electron with tangential velocity c. The circular…

General Physics · Physics 2016-02-25 Malik Mohammad Asif , Salman Khan

The dynamics of a spin-1/2 particle coupled to a nuclear spin bath through an isotropic Heisenberg interaction is studied, as a model for the spin decoherence in quantum dots. The time-dependent polarization of the central spin is…

Quantum Physics · Physics 2007-06-28 D. D. Bhaktavatsala Rao , V. Ravishankar , V. Subrahmanyam

We show that when an electron or photon propagates in a cylindrically symmetric waveguide, its spin angular momentum (SAM) and its orbital angular momentum (OAM) interact. Remarkably, we find that the dynamics resulting from this spin-orbit…

Quantum Physics · Physics 2009-12-09 C. C. Leary , M. G. Raymer , S. J. van Enk

The general classical equation of spin motion is rigorously derived for a particle with electric and magnetic charges and dipole moments in electromagnetic fields. The equation describing the spin motion relative to the momentum direction…

High Energy Physics - Phenomenology · Physics 2024-09-25 Alexander J. Silenko

Phenomena of rotation and oscillations of particle spin are discussed for particles rotating in storage ring. The fact that these effects are described by spin-dependent part of zero-angle scattering amplitude allows to use them for the…

High Energy Physics - Phenomenology · Physics 2009-11-07 Vladimir G. Baryshevsky

The paper studies spin-orbit interaction (i.e. the effect the spin has on the particle's trajectory in a magnetic field) as a model of quantum computation. The two-level spin quantum system is examined using the stochastic mechanics…

Mathematical Physics · Physics 2011-02-11 Gerasimos G. Rigatos

We consider a semi-classical model to describe the origin of the spin-orbit interaction in a simple system such as the hydrogen atom. The interaction energy U is calculated in the rest-frame of the nucleus, around which an electron, having…

Atomic Physics · Physics 2015-06-25 Gianfranco Spavieri , Masud Mansuripur

We analyse the motion of the spinning body (in the pole-dipole approximation) in the gravitational and electromagnetic fields described by the Mathisson-Papapetrou-Dixon-Souriau equations. First, we define a novel spin condition for the…

General Relativity and Quantum Cosmology · Physics 2025-02-28 K. Andrzejewski

Electromagnetic soliton-particle with both quasi-static and quick-oscillating wave parts is considered. Its mass, spin, charge, and magnetic moment appear naturally when the interaction with distant solitons is considered. The…

General Physics · Physics 2013-12-20 Alexander A. Chernitskii

In their recent paper, Kholmetskii, Missevitch, and Yarman "reanalyze the usual classical derivation of spin-orbit coupling in hydrogenlike atoms" and find a result "in qualitative agreement with the solution of the Dirac-Coulomb equation…

Classical Physics · Physics 2010-12-13 David C. Lush

Spin-dynamics techniques can now be used to study the deterministic time-dependent behavior of magnetic systems containing over 10^5 spins with quite good accuracy. This approach will be introduced, including the theoretical foundations of…

Statistical Mechanics · Physics 2009-10-31 D. P. Landau , Alex Bunker , Hans Gerd Evertz , M. Krech , Shan-Ho Tsai

The relativistic quantum dynamics of an electron in an intense single-mode quantized electromagnetic field is investigated with special emphasis on the spin degree of freedom. In addition to fast spin oscillations at the laser frequency, a…

Atomic Physics · Physics 2017-09-25 O. D. Skoromnik , I. D. Feranchuk , C. H. Keitel

We study the Hamiltonian dynamics and spectral theory of spin-oscillators. Because of their rich structure, spin-oscillators display fairly general properties of integrable systems with two degrees of freedom. Spin-oscillators have…

Symplectic Geometry · Mathematics 2015-05-18 Alvaro Pelayo , San Vu Ngoc

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

We study the dynamics of circular active particles (AP) on a two dimensional periodic undulated surface. Each particle has an internal energy mechanism which is modeled by an active friction force and it is controlled by an activity…

Soft Condensed Matter · Physics 2021-03-04 Vivek Semwal , Shambhavi Dikshit , Shradha Mishra

We describe the spin and charge dynamics of the system of two electrons confined within a double quantum dot defined in a quantum wire. The spin dynamics is driven by the electron motion in presence of the spin-orbit interaction and the…

Mesoscale and Nanoscale Physics · Physics 2017-05-10 J. Leśnicki , B. Szafran

The motion of a spinning particle in the exterior of a Kerr-Newman black hole is studied. The dynamics is governed by the Mathisson-Papapetrou equations in the pole-dipole approximation, including the spin-curvature coupling to leading…

General Relativity and Quantum Cosmology · Physics 2026-01-05 Yi-Ping Chen , Tien Hsieh , Da-Shin Lee

In this article, we study spatial Stark-Zeeman systems which describe the dynamics of a charged particle moving in three-dimensional space under the influence of a Coulomb potential, a magnetic field, and an electric field, possibly…

Dynamical Systems · Mathematics 2025-09-26 Seongchan Kim , Kevin Ruck