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The interaction between spin and gravitational waves causes spinning bodies to deviate from their geodesics. In this work, we obtain the analytic solution of the Mathisson--Papapetrou--Dixon equations at linear order in the spin for plane…

General Relativity and Quantum Cosmology · Physics 2026-05-11 Ke Wang

We investigate the coupling of the spin angular momentum of light beams with elliptical polarization to the spin degree of freedom of free electrons. It is shown that this coupling, which is of similar origin as the well-known spin-orbit…

Quantum Physics · Physics 2014-11-04 Heiko Bauke , Sven Ahrens , Rainer Grobe

The Mathisson-Papapetrou-Dixon equations for a massive spinning test particle in plane gravitational waves are analysed and explicit solutions constructed in terms of solutions of certain linear ordinary differential equations. For harmonic…

General Relativity and Quantum Cosmology · Physics 2008-11-26 M Mohseni , Robin W Tucker , Charles Wang

The Hamiltonian of relativistic particles with electric and magnetic dipole moments that interact with an electromagnetic field is determined in the Foldy-Wouthuysen representation. Transition to the semiclassical approximation is carried…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. J. Silenko

The relativistic semiclassical evolution of the position of an electron in the presence of an external electromagnetic field is studied in terms of a Newton equation that incorporates spin effects directly. This equation emerges from the…

Quantum Physics · Physics 2017-11-13 R. Gutierrez-Jauregui , R. Perez-Pascual , R. Jauregui

We report a point-particle ponderomotive model of a Dirac electron oscillating in a high-frequency field. Starting from the Dirac Lagrangian density, we derive a reduced phase-space Lagrangian that describes the relativistic time-averaged…

Plasma Physics · Physics 2015-12-23 D. E. Ruiz , C. L. Ellison , I. Y. Dodin

The interaction of an electromagnetic wave with spin (polarized light) and an electron is computed. Specifically the spin flip probability is computed using the Dirac equation for an electron trapped in a uniform magnetic field.

Optics · Physics 2014-05-16 Richard T Hammond

The Schr\"odinger equation is solved for the wave function of an electron moving in a superposition of external constant and uniform electric and magnetic fields at an arbitrary angle between the field directions. The changing of the…

Quantum Physics · Physics 2017-02-10 S. O. Lebedynskyi , V. I. Miroshnichenko , R. I. Kholodov , V. A. Baturin

In this paper, we investigate an alternative formulation for spin 3/2 field equation. First we will review equation of motion of Dirac and Maxwell, and then construct the equation for spin 3/2 in the similar fashion. Our method actually a…

General Physics · Physics 2008-03-17 Haryanto M. Siahaan

In this work we provide a novel class of degenerate solutions to the Dirac equation for massive particles, where the rotation of the spin of the particles is synchronized with the rotation of the magnetic field of the wave-like…

Spin torques, that is, effects of conduction electrons on magnetization dynamics, are calculated microscopically in the first order in spatial gradient and time derivative of magnetization. Special attention is paid to the so-called…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 H. Kohno , G. Tatara , J. Shibata , Y. Suzuki

The fundamental solution of the Dirac equation for an electron in an electromagnetic field with harmonic dependence on space-time coordinates is obtained. The field is composed of three standing plane harmonic waves with mutually orthogonal…

Quantum Physics · Physics 2016-06-10 G. N. Borzdov

The motion of a conducting electron in a quantum dot with one or several dislocations in the underlying crystal lattice is considered in the continuum picture, where dislocations are represented by torsion of space. The possible effects of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Erik Aurell

The motion of a particle with a spin in spherical harmonic oscillator potential with spin-orbit interaction is studied. We have focus our attention on spatial motion of wave packets, giving a description complementary to motion of spin…

Quantum Physics · Physics 2009-10-28 P. Rozmej , R. Arvieu

Starting from the Dirac equation in external electromagnetic and torsion fields we derive a path integral representation for the corresponding propagator. An effective action, which appears in the representation, is interpreted as a…

High Energy Physics - Theory · Physics 2016-12-28 Bodo Geyer , Dmitry Gitman , Ilya Shapiro

We study the effect of electron-electron backscattering interactions on spin transport in a quantum wire. Even if these interactions have no significant effect on charge transport, they strongly influence the transport of spin. We use the…

Strongly Correlated Electrons · Physics 2009-11-07 Cristina Bena , Leon Balents

We study the motion of a charged particle with magnetic moment in external electromagnetic fields utilizing covariant unification of Gilbertian and Amperian descriptions of particle magnetic dipole moment. Considering the case of a current…

Classical Physics · Physics 2021-06-04 Martin Formanek , Andrew Steinmetz , Johann Rafelski

Electromagnetic interactions are discussed in the context of the Klein-Gordon fermion equation. The Mott scattering amplitude is derived in leading order perturbation theory and the result of the Dirac theory is reproduced except for an…

Mathematical Physics · Physics 2014-07-01 S. Ulrych

Several proposals aimed at measuring the Electric Dipole Moment (EDM) for charged particles require very precise simulations and understanding of the systematic errors that can contribute to a spin buildup mimicking the EDM signal to be…

Accelerator Physics · Physics 2019-06-14 Malek Haj Tahar , Christian Carli

We derive new solutions of the Schr\"odinger, Klein-Gordon and Dirac equations which describe the motion of particles in a uniform magnetic field. In contrast to the well known stationary solutions, our solutions exhibit the behavior of…

Quantum Physics · Physics 2023-03-28 Iwo Bialynicki-Birula , Zofia Bialynicka-Birula
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