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Related papers: On helicity and spin on the light cone

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Einstein-Dirac equations for two spinor fields are considered. It is shown that in this case one can obtain self-consistent equations set for these gravitating spinors. The key idea to obtain Einstein-Dirac equations is to use special…

General Relativity and Quantum Cosmology · Physics 2011-04-18 Vladimir Dzhunushaliev

We study electron spin relaxation in one-dimensional structures of finite length in the presence of Bychkov-Rashba spin-orbit coupling and boundary spin relaxation. Using a spin kinetic equation approach, we formulate boundary conditions…

Mesoscale and Nanoscale Physics · Physics 2013-02-19 V. A. Slipko , A. A. Hayeva , Y. V. Pershin

The homogeneous Lippmann-Schwinger integral equation is solved in momentum space by using confining potentials. Since the confining potentials are unbounded at large distances, they lead to a singularity at small momentum. In order to…

High Energy Physics - Phenomenology · Physics 2011-11-10 M. R. Hadizadeh , Lauro Tomio

The interactions of gravitons with spin-1 matter are calculated in parallel with the well known photon case. It is shown that graviton scattering amplitudes can be factorized into a product of familiar electromagnetic forms, and cross…

General Relativity and Quantum Cosmology · Physics 2017-04-07 N. E. J. Bjerrum-Bohr , Barry R. Holstein , John F. Donoghue , Ludovic Planté , Pierre Vanhove

We analyze the behavior of a spinning particle in gravity, both from a quantum and a classical point of view. We infer that, since the interaction between the space-time curvature and a spinning test particle is expected, then the main…

General Relativity and Quantum Cosmology · Physics 2010-11-11 Francesco Cianfrani , Giovanni Montani

Using condition of relativistic invariance, group theory and Clifford algebra the component Lorentz invariance generalized Dirac equation for a particle with arbitrary mass and spin is suggested, where In the case of half-integral spin…

General Physics · Physics 2015-03-13 I. I. Guseinov

The photon helicity may be mapped to a spin-1/2, whereby we put forward an intrinsic interaction between a polarized light beam as a ``photon spin current'' and a pure spin current in a semiconductor, which arises from the spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2008-07-16 Jing Wang , Bang-Fen Zhu , Ren-Bao Liu

The behavior of spinning particles in the stationary homogeneous electric field is considered and trajectories are found for various spin orientations. We study the acceleration of spinning particles by an electric field, as well as the…

Classical Physics · Physics 2017-03-30 Alexander N. Tarakanov

In this article, we give all the Weitzenb\"ock-type formulas among the geometric first order differential operators on the spinor fields with spin $j+1/2$ over Riemannian spin manifolds of constant curvature. Then we find an explicit…

Differential Geometry · Mathematics 2020-05-21 Yasushi Homma , Takuma Tomihisa

There are constructed exact solutions of the quantum-mechanical Dirac equation for a spin S=1/2 particle in Riemannian space of constant negative curvature, hyperbolic Lobachevsky space, in presence of an external magnetic field, analogue…

Mathematical Physics · Physics 2011-08-30 E. M. Ovsiyuk , V. V. Kisel , V. M. Red'kov

In this work, we briefly review the progress made in the formulation of hydrodynamics with spin with emphasis on the application to the relativistic heavy-ion collisions. In particular, we discuss the formulation of hydrodynamics with spin…

High Energy Physics - Phenomenology · Physics 2021-04-29 Samapan Bhadury , Jitesh Bhatt , Amaresh Jaiswal , Avdhesh Kumar

We present the exact form of the spin polarization vector and the spin density matrix of massive and massless free particles of any spin and helicity at general global equilibrium in a relativistic fluid with non-vanishing thermal…

Nuclear Theory · Physics 2023-06-16 Andrea Palermo , Francesco Becattini

A simple real-space model for the electron wavefunction is suggested, based on a transverse wave with helicity, rotating at mc^2/h. The mapping of the real two-dimensional vector phasor to the complex plane permits this to satisfy the…

Quantum Physics · Physics 2007-05-23 Alan M. Kadin

The notion of a classical particle is inferred from Dirac quantum fields on a curved space-time, by an eikonal approximation and a localization hypothesis for amplitudes. This procedure allows to define a semi-classical version of the…

General Relativity and Quantum Cosmology · Physics 2014-11-18 F. Cianfrani , G. Montani

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

The average helicity of a given electromagnetic field measures the difference between the number of left- and right-handed photons contained in the field. In here, the average helicity is derived using the conformally-invariant…

Optics · Physics 2019-11-21 Ivan Fernandez-Corbaton

We relate the Lounesto classification of regular and singular spinors to the orbits of the $Spin(3,1)$ group in the space of Dirac spinors. We find that regular spinors are associated with the principal orbits of the spin group while…

High Energy Physics - Theory · Physics 2024-07-02 G. Papadopoulos

The Mathisson-Papapetrou-Dixon (MPD) equations, providing the "pole-dipole" description of spinning test particles in general relativity, have to be supplemented by a condition specifying the worldline that will represent the history of the…

General Relativity and Quantum Cosmology · Physics 2018-06-01 L. Filipe O. Costa , Georgios Lukes-Gerakopoulos , Oldřich Semerák

The Bohr-Sommerfeld rule for a spin system is obtained, including the first quantum corrections. The rule applies to both integer and half-integer spin, and respects Kramers degeneracy for time-reversal invariant systems. It is tested for…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Anupam Garg , Michael Stone

We study two general approaches how to describe spin one particles, using vector and antisymmetric tensor fields within RChT. In this paper we focus on the question of an equivalence of both ways. The appearing problems lead us to the…

High Energy Physics - Phenomenology · Physics 2007-09-24 Karol Kampf , Jiri Novotny , Jaroslav Trnka