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The work is devoted to studying some new classical electrodynamics models of interacting charged point particles and the aspects of the quantization via the Dirac procedure related to them. Based on the vacuum field theory no-geometry…

Mathematical Physics · Physics 2009-10-07 N. N. Bogolubov , A. K. Prykarpatsky

The classical electromagnetic field of a spinless point electron is described in a formalism with extended causality by discrete finite point-vector fields with discrete and localized point interactions. These fields are taken as a…

High Energy Physics - Theory · Physics 2016-08-15 Manoelito M de Souza , Jair V. Costa , Adriano S. Pedra

We obtain a generalization of the relativistic diffusion of Schay and Dudley for particles with spin. The diffusion equation is a classical version of an equation for the Wigner function of an elementary particle. The elementary particle is…

High Energy Physics - Theory · Physics 2015-05-13 Z. Haba

A physically transparent and mathematically simple semiclassical model is employed to examine dynamics in the central-spin problem. The results reproduce a number of previous findings obtained by various quantum approaches and, at the same…

Mesoscale and Nanoscale Physics · Physics 2015-03-31 Tomasz Dietl

In plasma physics, collisionless charged particles are transported following the dynamics of a meanfield Vlasov equation with a self-consistent electric field generated by the charge density. Due to the long range interaction between…

Analysis of PDEs · Mathematics 2024-10-22 Toan T. Nguyen

A simple Lagrangian is proposed that by the choice of the representation of SU(2), gives rise to field equations for arbitrary spin. In explicit examples it is shown, how the Klein-Gordon, the Dirac, and the Proca equation can be obtained…

High Energy Physics - Theory · Physics 2012-10-30 Benjamin Koch , Nicolas Rojas

We investigate the properties of non-linear electromagnetism based on the Born-Infeld Lagrangian in multi-dimensional theories of Kaluza-Klein type. We consider flat space-time solutions only, which means that the space-time metric is…

High Energy Physics - Theory · Physics 2007-05-23 José P. S. Lemos , Richard Kerner

Effective giant spins of magnetic nanoparticles are considered classically in the conventional theory of superparamagnetism based on the Landau-Lifshitz-Langevin equation. However, microscopic calculations for a large spin with uniaxial…

Statistical Mechanics · Physics 2009-11-13 D. A. Garanin

A classical model of the electron based on Maxwell's equations is presented in which the wave character is described by classical physics. Most properties follow from the description of a classical massless charge circulating with v\,=\,c.…

Classical Physics · Physics 2021-10-07 G. Poelz

Proceeding from the main principles of the non-unitary quantum theory of relativistic bi-Hamiltonian systems, a system of Lagrangian fields characterized by a certain dispersion law (mass spectrum of particles), interactions between them…

Quantum Physics · Physics 2007-05-23 S. S. Sannikov , A. A. Stanislavsky , M. J. T. F. Cabbolet

Exploiting the azimuthal angle dependence of the density matrices we construct observables that directly measure the spin of a heavy unstable particle. A novelty of the approach is that the analysis of the azimuthal angle dependence in a…

High Energy Physics - Phenomenology · Physics 2009-07-22 Fawzi Boudjema , Ritesh K. Singh

This paper introduces several ideas of emergent gravity, which come from a system similar to an ensemble of quantum spin-$\tfrac{1}{2}$ particles. To derive a physically relevant theory, the model is constructed by quantizing a scalar field…

General Relativity and Quantum Cosmology · Physics 2024-05-07 Quentin Ansel

We formulate a finite-size particle numerical model of strongly magnetized plasmas in the drift-kinetic approximation. We use the phase space action as an alternative to previous variational formulations based on Low's Lagrangian or on a…

Plasma Physics · Physics 2014-08-05 E. G. Evstatiev

Path and path deviation equations for neutral, charged, spinning and spinning charged test particles, using a modified Bazanski Lagrangian, are derived. We extend this approach to strings and branes. We show how the Bazanski Lagrangian for…

General Relativity and Quantum Cosmology · Physics 2015-05-20 M. Pavšič , M. E. Kahil

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…

Motion of a classical particle in 3-dimensional Lobachevsky and Riemann spaces is studied in the presence of an external magnetic field which is analogous to a constant uniform magnetic field in Euclidean space. In both cases three…

Mathematical Physics · Physics 2010-01-12 V. V. Kudryashov , Yu. A. Kurochkin , E. M. Ovsiyuk , V. M. Red'kov

A new spinning particle with a definite sign of the energy is defined on spacelike hypersurfaces after a critical discussion of the standard spinning particles. They are the pseudoclassical basis of the positive energy $({1\over 2},0)$ [or…

High Energy Physics - Theory · Physics 2009-10-31 F. Bigazzi , L. Lusanna

Standard Model with a classical conformal invariance holds the promise to give a better understanding of the hierarchy problem and could pave the way for beyond the standard model physics. So, we give here a mathematical treatment of a…

High Energy Physics - Phenomenology · Physics 2014-06-30 Marco Frasca

An elementary field-theoretic mechanism is proposed that allows one Lagrangian to describe a family of particles having different masses but otherwise similar physical properties. The mechanism relies on the observation that the…

High Energy Physics - Theory · Physics 2014-11-20 C. M. Bender , S. P. Klevansky

We consider a system of nonlinear spinor and scalar fields with minimal coupling in general relativity. The nonlinearity in the spinor field Lagrangian is given by an arbitrary function of the invariants generated from the bilinear spinor…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Bijan Saha , G. N. Shikin