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A semiclassical theory of spin dynamics and transport is formulated using the Dirac electron model. This is done by constructing a wavepacket from the positive-energy electron band, and studying its structure and center of mass motion. The…

介观与纳米尺度物理 · 物理学 2013-12-10 Chih-Piao Chuu , Ming-Che Chang , Qian Niu

The Dirac equation provides a description of spin 1/2 particles, consistent with both the principles of quantum mechanics and of special relativity. Often its presentation to students is based on mathematical propositions that may hide the…

量子物理 · 物理学 2009-06-01 S. Savasta , O. Di Stefano , O. M. Marago

The bispinor wave function finds its fundamental application in the study of electrons, neutrinos and protons as particles bound by their own potentials. Classical electromagnetism and the Dirac electron theory appear to be natural…

量子物理 · 物理学 2016-09-08 Yair Goldin

We consider a self-consistent axially symmetric system supported by a classical nonlinear spinor field minimally coupled to electric and magnetic Maxwell fields. The presence of the nonlinearity of the spinor field ensures the existence of…

高能物理 - 理论 · 物理学 2023-10-03 Vladimir Dzhunushaliev , Vladimir Folomeev

If the assumption that the center of mass(CM) and the center of charge(CC) of the electron are two different points was stated 100 years ago, our conceptual ideas about elementary particles would be different. This assumption is only…

物理学史与哲学 · 物理学 2012-12-03 Martin Rivas

In particle physics, most of the classical models consider that the centre of mass and centre of charge of an elementary particle, are the same point. This presumes some particular relationship between the charge and mass distribution, a…

综合物理 · 物理学 2015-05-13 Martin Rivas

We revisit the ground state of the spin-Fermion model within a semiclassical approximation. We demonstrate that antiphase spin spirals, or pi-spirals, whose chirality alternates between consecutive rows (or columns) of local moments, have,…

强关联电子 · 物理学 2007-07-19 Marcello B. Silva Neto

In this note we generalized the Dirac non-linear electrodynamics, by introducing two potentials (namely, the vector potential A and the pseudo-vector potential gamma^5 B of the electromagnetic theory with charges and magnetic monopoles) and…

量子物理 · 物理学 2015-06-26 W. A. Rodrigues , Jayme Vaz , Erasmo Recami

A neo-classical relativistic mechanics theory is presented where the spin of an electron is a natural part of its space-time path as a point particle. The fourth-order equation of motion corresponds to the same Lagrangian function in proper…

量子物理 · 物理学 2024-02-13 James L. Beck

This paper applies the isotopic field-charge spin theory (Darvas, IJTP 2011) to the electromagnetic interaction. First there is derived a modified Dirac equation in the presence of a velocity dependent gauge field and isotopic field charges…

综合物理 · 物理学 2018-09-13 György Darvas

For relativistic particles with spin 1/2, which are described by the Dirac equation, a semiclassical trace formula is introduced that incorporates expectation values of observables in eigenstates of the Dirac-Hamiltonian. Furthermore, the…

混沌动力学 · 物理学 2022-10-12 Jens Bolte

Relativistic spin-1/2 particles in curved spacetime are naturally described by Dirac theory, which is a dynamical and Lorentz-invariant field theory. In this work, we propose a non-dynamical fermion theory in 3+1 dimensions dubbed spinor…

高能物理 - 理论 · 物理学 2016-07-20 Giandomenico Palumbo

In this work we produce a classical Lagrangian description of an elementary spinning particle which satisfies Dirac equation when quantized. We call this particle a classical Dirac particle. We analyze in detail the way we arrive to this…

经典物理 · 物理学 2025-10-21 Juan Barandiaran , Martin Rivas

The behavior of spin-1/2 particle in a weak static gravitational field is considered. The Dirac Hamiltonian is diagonalized by the Foldy-Wouthuysen transformation providing also the simple form for the momentum and spin polarization…

广义相对论与量子宇宙学 · 物理学 2009-11-10 A. J. Silenko , O. V. Teryaev

The conservation law for the orbital plus spin angular momentum of a free Dirac particle in curved spacetime requires that the affine connection has the antisymmetric part: the torsion tensor, which extends general relativity to the…

广义相对论与量子宇宙学 · 物理学 2026-04-28 Nikodem Popławski

We extend Dirac's `extensible model of the electron' to include spin and family. $U(1)_{e.m.}$ charge conservation on the bubble is translated into a secondary $U(1)_{g}$ world-manifold gauge principle. Reflecting the secondary magnetic…

高能物理 - 理论 · 物理学 2014-11-18 Aharon Davidson , Uzi Paz

The semiclassical kinetic theory of Dirac particles in the presence of external electromagnetic fields and global rotation is established. To provide the Hamiltonian formulation of Dirac particles a symplectic two-form which is a matrix in…

高能物理 - 理论 · 物理学 2017-05-02 O. F. Dayi , E. Kilincarslan , E. Yunt

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…

综合物理 · 物理学 2007-05-23 S C Tiwari

We consider the most general axial torsion completion of gravity with electrodynamics for $\frac{1}{2}$-spin spinors in an $8$-dimensional representation of the Dirac matter field: this theory will allow to define antimatter as matter with…

广义相对论与量子宇宙学 · 物理学 2014-05-13 Luca Fabbri

(Talk presented at the 7th Marcel Grossmann Meeting on General Relativity, Stanford, CA, July 24-30, 1994) We study the semi-classical limit of the solution of the Dirac equation in a background electromagnetic/gravitational plane wave. We…

高能物理 - 理论 · 物理学 2007-05-23 Stamatis Vokos
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