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Despite conventional wisdom that spin-1/2 systems have no classical analog, we introduce a set of classical coupled oscillators with solutions that exactly map onto the dynamics of an unmeasured electron spin state in an arbitrary,…

Quantum Physics · Physics 2011-12-12 K. B. Wharton , R. A. Linck , C. H. Salazar-Lazaro

The hypothesis that matter is made of some ultimate and indivisible objects, together the restricted relativity principle, establishes a constraint on the kind of variables we are allowed to use for the variational description of elementary…

General Physics · Physics 2008-11-26 Martin Rivas

Run-and-tumble particles, frequently considered today for modeling bacterial locomotion, naturally appear outside a biological context as well, e.g. for producing waves in the telegraph process. Here, we use a wave function to drive their…

Statistical Mechanics · Physics 2022-08-17 Christian Maes , Kasper Meerts , Ward Struyve

A model for the fundamental structure of nature is presented. It is based on two fundamental fermions moving with the velocity of light and differing from each other by the projection of the spin on the momentum vector. The energy of both…

High Energy Physics - Theory · Physics 2007-05-23 J. Witters

A great effort has been devoted to formulate a classical relativistic theory of spin compatible with quantum relativistic wave equations. The main difficulty in order to connect classical and quantum theories rests in finding a parameter…

High Energy Physics - Theory · Physics 2010-11-23 Fabian H. Gaioli , Edgardo T. Garcia Alvarez

Classical Electrodynamics is not a consistent theory because of its field inadequate behaviour in the vicinity of their sources. Its problems with the electron equation of motion and with non-integrable singularity of the electron self…

High Energy Physics - Theory · Physics 2008-02-03 Manoelito M. de Souza

We compare the quantum and the classical description of the two-dimensional motion of electrons subjected to a perpendicular magnetic field and a one-dimensional lateral superlattice defined by spatially periodic magnetic and electric…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 S. D. M. Zwerschke , A. Manolescu , R. R. Gerhardts

Classical Hamiltonian system of a point moving on a sphere of fixed radius is shown to emerge from the constrained evolution of quantum spin. The constrained quantum evolution corresponds to an appropriate coarse-graining of the quantum…

Quantum Physics · Physics 2015-06-04 M. Radonjic , S. Prvanovic , N. Buric

The traditional approach to accelerator optics, based mainly on classical mechanics, is working excellently from the practical point of view. However, from the point of view of curiosity, as well as with a view to explore quantitatively the…

Accelerator Physics · Physics 2007-05-23 R. Jagannathan

Elementary particle physics is the quadrant of nature whose laws can be written in a few lines with absolute precision and the greatest empirical adequacy. If this is the case, as I believe it is, it must be possible and is probably useful…

High Energy Physics - Phenomenology · Physics 2007-10-31 Riccardo Barbieri

The main notions of semiclassical scalar electrodynamics in different gauges (Hamiltonian, Couloumb, Lorentz) are discussed. These are semiclassical states, Poincare transformations, fields, observables, gauge equivalence. General…

High Energy Physics - Theory · Physics 2007-05-23 O. Yu. Shvedov

All measurable predictions of classical mechanics can be reproduced from a quantum-like interpretation of a nonlinear Schrodinger equation. The key observation leading to classical physics is the fact that a wave function that satisfies a…

Quantum Physics · Physics 2014-11-18 H. Nikolic

The idea that particles are the basic constituents of all matter dates back to ancient times and formed the basis of physical thought well into modern times. The debate about whether light was a wave or a stream of particles also lasted…

General Physics · Physics 2016-03-24 Gerald E. Marsh

This paper deals with the foundations of quantum mechanics. We start by outlining the characterisation, due to Birkhoff and Von Neumann, of the logical structures of the theories of classical physics and quantum mechanics, as boolean and…

Quantum Physics · Physics 2007-05-23 John Foy

We address the propagation of the spin along classical trajectories for a 1/2-spin particle obeying the Dirac equation with scalar potentials. Focusing on classical trajectories as the exact propagation of wave-function discontinuities we…

Quantum Physics · Physics 2014-12-24 Jesús Rubio , Alfredo Luis

The field nature of spin in the framework of the field electromagnetic particle concept is considered. A mathematical character of the fine structure constant is discussed. Three topologically different field models for charged particle…

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

Particle physics has evolved a coherent model that characterizes forces and particles at the most elementary level. This Standard Model, built from many theoretical and experimental studies, is in excellent accord with almost all current…

High Energy Physics - Phenomenology · Physics 2008-11-26 Mary K. Gaillard , Paul D. Grannis , Frank J. Sciulli

The physical model of a nonrelativistic quantized Schrodinger's electron (SE) is offered. The behaviour of the SE well spread elementary electric charge had been understood by means of two independent and different in a frequency and size…

Quantum Physics · Physics 2007-05-23 Josiph Mladenov Rangelov

The appearance of tracks, close to classical orbits, left by charged quantum particles propagating inside a detector, such as a cavity periodically illuminated by light pulses, is studied for a family of idealized models. In the…

Mathematical Physics · Physics 2022-06-29 Tristan Benoist , Martin Fraas , Jürg Fröhlich

We advance here our neoclassical theory of elementary charges by integrating into it the concept of spin of 1/2. The developed spinorial version of our theory has many important features identical to those of the Dirac theory such as the…

General Physics · Physics 2015-06-16 Anatoli Babin , Alexander Figotin