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A model to study the dynamics of colloidal particles in nonuniform electric fields is proposed. For an isolated sphere, the conditions and threshold for sustained (Quincke) rotation in a linear direct current (dc) field are determined.…

Fluid Dynamics · Physics 2018-01-31 Yi Hu , Petia M. Vlahovska , Michael J. Miksis

The motion of a conducting electron in a quantum dot with one or several dislocations in the underlying crystal lattice is considered in the continuum picture, where dislocations are represented by torsion of space. The possible effects of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Erik Aurell

The Dirac equation is a cornerstone in the history of physics, merging successfully quantum mechanics with special relativity, providing a natural description of the electron spin and predicting the existence of anti-matter. Furthermore, it…

Quantum Physics · Physics 2010-01-08 R. Gerritsma , G. Kirchmair , F. Zähringer , E. Solano , R. Blatt , C. F. Roos

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

Very recently, the electric dipole spin resonance (EDSR) of single electrons in quantum dots was discovered by three independent experimental groups. Remarkably, these observations revealed three different mechanisms of EDSR: coupling of…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Emmanuel I. Rashba

A classical circularly polarized electromagnetic wave carries angular momentum, and represents the classical limit of a photon, which carries quantized spin. It is shown that a very similar picture of a circularly polarized coherent wave…

Quantum Physics · Physics 2007-05-23 Alan M. Kadin

The Barut--Zanghi (BZ) theory can be regarded as the most satisfactory picture of a classical spinning electron and constitutes a natural "classical limit" of the Dirac equation. The BZ model has been analytically studied in some previous…

High Energy Physics - Theory · Physics 2009-10-31 Giovanni Salesi , Erasmo Recami

We present a manifestly Lorentz- and SO(2)-Duality-invariant local Quantum Field Theory of electric charges, Dirac magnetic monopoles and dyons. The manifest invariances are achieved by means of the PST-mechanism. The dynamics for classical…

High Energy Physics - Theory · Physics 2009-10-31 K. Lechner , P. A. Marchetti

Spin is an important quantum degree of freedom in relativistic quantum information theory. This paper provides a first-principles derivation of the observable corresponding to a Stern-Gerlach measurement with relativistic particle velocity.…

Quantum Physics · Physics 2013-07-09 Matthew C. Palmer , Maki Takahashi , Hans F. Westman

It is shown that all of the basic properties of the hydrogen atom can be consistently described in terms of classical electrodynamics instead of taking the electron to be a particle; we consider an electrically charged classical wave field,…

General Physics · Physics 2017-03-08 Sergey Rashkovskiy

It is widely believed that classical electromagnetism is either unphysical or inconsistent, owing to pathological behavior when self-force and radiation reaction are non-negligible. We argue that there is no inconsistency as long as it is…

Classical Physics · Physics 2015-10-13 Andrew M. Steane

Quantum theory of electron spin is developed here based on the extended least action principle and assumptions of intrinsic angular momentum of an electron with random orientations. The novelty of the formulation is the introduction of…

Quantum Physics · Physics 2025-11-30 Jianhao M. Yang

We develop the general theory of spinning particles with electric and magnetic dipole moments moving in arbitrary electromagnetic, inertial and gravitational fields. Both the quantum-mechanical and classical dynamics is investigated. We…

High Energy Physics - Theory · Physics 2017-11-15 Yuri N. Obukhov , Alexander J. Silenko , Oleg V. Teryaev

A unified approach to the study of classical and quantum spin in external fields is developed. Understanding the dynamics of particles with spin and dipole moments in arbitrary gravitational, inertial and electromagnetic fields is important…

General Relativity and Quantum Cosmology · Physics 2019-04-02 Yuri N. Obukhov

Entanglement is studied in the framework of Dyson's S-matrix theory in relativistic quantum field theory, which leads to a natural definition of entangled states of a particle-antiparticle pair and the spin operator from a Noether current.…

Quantum Physics · Physics 2015-06-18 Kazuo Fujikawa , C. H. Oh , Chengjie Zhang

The motion of a relativistic particle is linked to its spin by the Dirac equation. Remarkably, electrons in two-dimensional materials can mimic such Dirac particles but must always appear in pairs of opposite spin chirality. Using…

Mesoscale and Nanoscale Physics · Physics 2009-09-24 Kenjiro K. Gomes , Wonhee Ko , Warren Mar , Yulin Chen , Zhi-Xun Shen , Hari C. Manoharan

The Einstein-Podolski-Rosen paradox highlights several strange properties of quantum mechanics including the super position of states, the non locality and its limitation to determine an experiment only statistically. Here, this well known…

Quantum Physics · Physics 2017-09-13 Roland Riek

A causally well-behaved solution of the localization problem for the free electron is given, with natural space-time transformation properties, in terms of Dirac's position operator. It is shown that, although this operator does not…

Quantum Physics · Physics 2008-11-26 A. J. Bracken , G. F. Melloy

As a continuation of our earlier investigations into electron wave--spin~\citep{GaoJOPCO22,EntropyEvaSpin2024}, we analyze the electron spin and its qubit in a cavity by treating the electron as a physical wave obeying the Dirac equation.…

General Physics · Physics 2025-10-02 Ju Gao , Fang Shen

The history of the discovery of electron spin and the Pauli principle and the mathematics of spin and quantum statistics are reviewed. Pauli's theory of the spinning electron and some of its many applications in mathematics and physics are…

Mathematical Physics · Physics 2015-05-13 Juerg Froehlich
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