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Within the recently proposed Lorentz invariant formalism for description of neutrino spin evolution in presence of an arbitrary electromagnetic fields effects of matter motion and polarization are considered.

High Energy Physics - Phenomenology · Physics 2017-08-23 M. S. Dvornikov , A. M. Egorov , A. E. Lobanov , A. I. Studenikin

We present an introduction to the study of a relativistic particle moving under the influence of its own Frenet-Serret curvatures. With the aim of introducing the notation and conventions used in this paper, we first recall the action of a…

Classical Physics · Physics 2013-09-09 Guillermo Arreaga-Garcia , Julio Saucedo Morales

We investigate the relativistic generalization of the classical St\"{o}rmer problem, which describes the motion of charged particles in a purely magnetic dipole field. By incorporating special relativistic effects, the particle dynamics is…

High Energy Astrophysical Phenomena · Physics 2026-05-07 Tiberiu Harko , Francisco S. N. Lobo

We consider a system rotating at extremely high angular velocity, so that its matter is found mostly at the light-cylinder. We posit that it can be described by quantum fields confined to the two-dimensional cylindrical surface rotating…

High Energy Physics - Phenomenology · Physics 2024-01-01 Matteo Buzzegoli , Kirill Tuchin

I study how to apply relativistic quantum field theory to condensed matter systems. The motivation for this is examined and then two separate elements are considered. First we identify the precise relationship between relativistic and…

High Energy Physics - Phenomenology · Physics 2013-07-15 T. S. Evans

We overview our recent studies of cosmological models with expansion and global rotation. Problems of the early rotating models are discussed, and the class of new viable cosmologies is described in detail. Particular attention is paid to…

General Relativity and Quantum Cosmology · Physics 2016-10-26 V. A. Korotky , Yu. N. Obukhov

We consider the forced motion of a relativistic particle constrained on a curve and present sufficient conditions for periodic oscillations by means of an illustrative geometrical approach. Obtained result is illustrated by a few examples…

Dynamical Systems · Mathematics 2015-08-11 Ivan Polekhin

The interpretations of solutions of Einstein field's equations led to the prediction and the observation of physical phenomena which confirm the important role of general relativity, as well as other relativistic theories in physics. In…

General Relativity and Quantum Cosmology · Physics 2007-12-07 S. M. Kozyrev

Exact solution is obtained for electromagnetic field around a conducting cylinder of infinite length and finite radius, with a periodical axial current, when the wave length is much larger than the radius of the cylinder. The solution…

Astrophysics · Physics 2009-11-10 G. S. Bisnovatyi-Kogan

We study the large-scale dynamics of charged particles in a rapidly oscillating field and formulate its classical and quantum effective theory description. The high-order perturbative results for the effective action are presented.…

High Energy Physics - Phenomenology · Physics 2026-05-11 Alexander A. Penin , Aneca Su

I outline the theory of relativistic charged-particle motion in the magnetosphere in a way suitable for undergraduate courses. I discuss particle and guiding center motion, derive the three adiabatic invariants associated with them, and…

Space Physics · Physics 2015-06-03 M. Kaan Öztürk

Some theoretical and experimental aspects regarding the direct dark matter field are mentioned. In particular some arguments, which play a relevant role in the evaluation of model dependent interpretations of experimental results and in…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 R. Cerulli , R. Bernabei , P. Belli , F. Cappella , C. J. Dai , A. d'Angelo , A. Di Marco , H. L. He , A. Incicchitti , X. H. Ma , F. Montecchia , X. D. Sheng , R. G. Wang , Z. P. Ye

Based on Maxwellian quaternionic electromagnetic theory, the electromagnetic interaction, gravitational interaction and their coupling influence with the dark matter field in octonionic space are discussed. The research results disclose the…

Classical Physics · Physics 2009-10-28 Zihua Weng

In this work the phenomenology of models possessing a non-minimal coupling between matter and geometry is discussed, with a particular focus on the possibility of describing the flattening of the galactic rotation curves as a dynamically…

Astrophysics of Galaxies · Physics 2015-05-18 Orfeu Bertolami , Jorge Páramos

Generalisations of the relativistic ideal Ohm's law are presented that include specific dynamical features of the current carrying particles in a plasma. Cases of interest for space and laboratory plasmas are identified where these…

Plasma Physics · Physics 2015-11-09 F. Pegoraro

We derive the full set of field equations based on Hossenfelder's recent covariant formulation of the emergent gravity model, along with perturbative and exact solutions. The exact solution describes a static, spherically-symmetric…

General Relativity and Quantum Cosmology · Physics 2018-12-26 Yen-Kheng Lim , Qing-hai Wang

Relativistic quantum mechanics can be considered to have begun with a search for wave equations corresponding to each intrinsic spin. However, relativistic quantum physics differs fundamentally from the non-relativistic wave mechanics. It…

History and Philosophy of Physics · Physics 2026-03-09 Urjit A. Yajnik

Invariance of the counted number of photons and the Lorentz-Einstein transformations enable us to derive transformation equations for the physical quantities introduced in order to characterize energy emission and transport in a plane and…

General Physics · Physics 2008-12-04 Bernhard Rothenstein , Ioan Damian

A four-vector field in flat space-time, satisfying a gauge-invariant set of second-order differential equations, is considered as a unified field. The model variational principle corresponds to the general covariance idea and gives rise to…

High Energy Physics - Theory · Physics 2008-11-26 Alexander A. Chernitskii

The motion of charged particles in weakly varying electromagnetic fields is described using a perturbation method. This provides a systematic and physically transparent description of the particle motion on fast and slow spatio-temporal…

Plasma Physics · Physics 2014-05-15 D. S. Sortland , O. E. Garcia