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Dirac's equation of the electron will be discussed by using quaternions as the basis of a new formalism which seems to be very well adapted to the problem. The transformation properties of the equations as well as the invariant and…

History and Philosophy of Physics · Physics 2007-05-23 Cornelius Lanczos

Einstein's gravity minimally coupled to free, massive, classical fundamental fields admits particle-like solutions. These are asymptotically flat, everywhere non-singular configurations that realise Wheeler's concept of a geon: a localised…

General Relativity and Quantum Cosmology · Physics 2019-08-14 C. Herdeiro , I. Perapechka , E. Radu , Ya. Shnir

In December 1924 Wolfgang Pauli proposed the idea of an inner degree of freedom of the electron, which he insisted should be thought of as genuinely quantum mechanical in nature. Shortly thereafter Ralph Kronig and, independently, Samuel…

History and Philosophy of Physics · Physics 2008-11-26 Domenico Giulini

The measurement problem is to explain why a system which is in a linear combination of states appears, upon measurement, to be in just one of those states. The solution given here is to first show that if one assumes linear, unitary, no…

Quantum Physics · Physics 2013-04-30 Casey Blood

Electron localization is the tendency of an electron in a many-body system to exclude other electrons from its vicinity. Using a new natural measure of localization based on the exact manyelectron wavefunction, we find that localization can…

Mesoscale and Nanoscale Physics · Physics 2021-01-15 T. R. Durrant , M. J. P. Hodgson , J. D. Ramsden , R. W. Godby

In the present work, we give a phenomenological theory of the monolayer graphene where two worlds quantum and classical meet together and complete each other in the most natural way. It appears that the graphene is the unique material where…

Mesoscale and Nanoscale Physics · Physics 2021-12-14 V. Apinyan , M. Sahakyan

A system of two initially homogeneous, physically real fields uniformly attracted to each other is considered as the simplest basis of the self-developing world structure. It is shown that the system is unstable against periodic cycles of…

General Physics · Physics 2007-05-23 Andrei P. Kirilyuk

A general theoretical description of a magnetic resonance is presented. This description is necessary for a detailed analysis of spin dynamics in electric-dipole-moment experiments in storage rings. General formulas describing a behavior of…

Nuclear Theory · Physics 2017-05-30 Alexander J. Silenko

The observable parameters of the electron indicate unambiguously that its gravitational background should be the Kerr-Newman solution without horizons. This background is not flat and has a non-trivial topology created by the Kerr singular…

High Energy Physics - Theory · Physics 2012-05-14 Alexander Burinskii

In this paper, I argue that light is a continuous classical electromagnetic wave, while the observed so-called quantum nature of the interaction of light with matter is connected to the discrete (atomic) structure of matter and to the…

Quantum Physics · Physics 2016-02-04 Sergey A. Rashkovskiy

It is argued that electron can be treated as an anyon which carries a charge (-e) and a magnetic flux $\pm \frac{\Phi_{0}}{2}$ in the presence and absence of a uniform external magnetic field. This flux is shown to arise due to the spin of…

General Physics · Physics 2007-05-23 M. Saglam

The study of two spin asymmetries in hadron-hadron collisions probes the details of fundamental particle interactions in ways infeasible to machines with unpolarized collisions. Within reach is how the proton spin is distributed among its…

High Energy Physics - Phenomenology · Physics 2008-02-03 Glenn A. Ladinsky

We study the Bloch spectrum and spin physics of 2D massless Dirac electrons in single layer graphene subject to a one dimensional periodic Kronig-Penney potential and Rashba spin-orbit coupling. The Klein paradox exposes novel features in…

Mesoscale and Nanoscale Physics · Physics 2021-08-18 Y. Avishai , Y. B. Band

We consider the dynamics of Dirac particles moving in the curved spaces with one coordinate subjected to compactification and thus interpolating smoothly between three- and two-dimensional spaces. We use the model of compactification, which…

General Relativity and Quantum Cosmology · Physics 2014-02-18 Alexander J. Silenko , Oleg V. Teryaev

According to a prevailing opinion, the electron g-factor ge = 2 is exclusively a quantum feature. Here we demonstrate it could be explained classically only in relativistic terms. The electron is treated as an extended, continuous, but…

Classical Physics · Physics 2018-06-07 Jaromir Chalupsky

Advances in gauge theories and unified theories have not thrown light on the meaning of electron. The problem of the origin of electronic charge is made precise, new insights gained from Weyl space are summarized, and the origin of charge…

General Physics · Physics 2007-05-23 S C Tiwari

An electromagnetic field of simple algebraic structure is simply derived. It turns out to be the G=0 limit of the charged rotating Kerr-Newman metrics. These all have gyromagnetic ratio 2, the same as the Dirac electron. The charge and…

Astrophysics · Physics 2007-05-23 Donald Lynden-Bell

We study a mean-field relativistic model which is able to describe both the behavior of finitely many spin-1/2 particles like electrons and of the Dirac sea which is self-consistently polarized in the presence of the real particles. The…

Atomic Physics · Physics 2009-11-13 Christian Hainzl , Mathieu Lewin , Eric Sere , Jan Philip Solovej

We discuss the relation of the Kerr-Newman spinning particle to the Dirac electron and show that the Dirac equation may naturally be incorporated into Kerr-Schild formalism as a master equation controlling the Kerr-Newman geometry. As a…

High Energy Physics - Theory · Physics 2008-11-26 Alexander Burinskii

We study the dynamics of a spin-dependent quantum dot system, where an unsharp and a sharp detection scenario is introduced. The back-action of the unsharp detection related to the magnetization, proposed in terms of the continuous quantum…

Mesoscale and Nanoscale Physics · Physics 2013-01-17 J. Z. Bernád