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We predict the force-free scalar Aharonov-Bohm effect of a Cooper pair box in an electric field at a distance without forming a closed path of the interfering charges. The superposition of different charge states plays a major role in…

Mesoscale and Nanoscale Physics · Physics 2018-11-02 Young-Wan Kim , Kicheon Kang

The present theory is closely related to Dirac's equation of the electron, but not to his magnetic monopole theory, except for his relation between electric and magnetic charge. The theory is based on the fact, that the massless Dirac…

Quantum Physics · Physics 2008-11-26 Georges Lochak

There is a consensus today that the the main lesson of the Aharonov-Bohm effect is that a picture of electromagnetism based on the local action of the field strengths is not possible in quantum mechanics. Contrary to this statement it is…

Quantum Physics · Physics 2015-05-30 Lev Vaidman

We consider the three-dimensional Dirac equation in spherical coordinates with coupling to static electromagnetic potential. The space components of the potential have angular (non-central) dependence such that the Dirac equation is…

High Energy Physics - Theory · Physics 2008-11-26 A. D. Alhaidari

We develop some ideas about gauge symmetry in the context of Maxwell's theory of electromagnetism in the Hamiltonian formalism. One great benefit of this formalism is that it pairs momentum and configurational degrees of freedom, so that a…

History and Philosophy of Physics · Physics 2021-10-25 Henrique Gomes , Jeremy Butterfield

Electromagnetism is a simple example of a gauge theory where the underlying potentials -- the vector and scalar potentials -- are defined only up to a gauge choice. The vector potential generates magnetic fields through its spatial…

We reformulate classical electromagnetism within the matter-space framework of relativistic fluid dynamics. The central assumption is that the relevant degrees of freedom are encoded in differential forms on a three-dimensional matter space…

General Physics · Physics 2026-05-20 Jeongwon Ho , Hyeong-Chan Kim , Jungjai Lee , Yongjun Yun

Are the electromagnetic scalar and vector potentials dispensable? Lev Vaidman has suggested that local interactions of gauge-invariant quantities, e.g. magnetic torques, suffice for the description of all quantum electromagnetic phenomena.…

Quantum Physics · Physics 2016-04-21 Yakir Aharonov , Eliahu Cohen , Daniel Rohrlich

We present an approach to compute the electric and magnetic dipole moments of an electron by using polarization and magnetization parts of the Dirac current. We show that these dipole moment expressions obtained by our approach in this…

Quantum Physics · Physics 2019-07-05 Semra Gurtas Dogan , Ganim Gecim , Yusuf Sucu

The importance of the potential is revealed in a newly discovered effect of the potential. This paper explore the same issue introduced in quant-ph/9506038 from several different aspects including electron optics and relativity. Some people…

Quantum Physics · Physics 2016-08-15 Jùn Líu

Following semiclassical arguments by Vaidman we show, for the first time in a fully quantum mechanical way, that the phase shifts arising in the Aharonov Bohm (A-B) magnetic or electric effects can be treated as due to the electric force of…

Quantum Physics · Physics 2017-05-31 Philip Pearle , Anthony Rizzi

We study the effect of nonzero temperature on the induced electric charge around a Dirac monopole. While at zero temperature the charge is known to be proportional to a CP violating $\theta$ parameter, we find that at high temperature the…

High Energy Physics - Theory · Physics 2014-11-18 Claudio Coriano' , Rajesh R. Parwani

The analytical expressions for the electromagnetic potential generated from a focusing charged particle beam are indispensable in various beam physics problems. In this article, we review the theory in detail and point out the necessary…

Accelerator Physics · Physics 2024-10-24 Yi-Kai Kan , Ji Qiang

We discuss some elementary examples of interactions (at low velocity) between point charges and magnetic dipoles using potentials, along the lines indicated by Konopinsky, and show that the physical interpretation might look quite different…

Classical Physics · Physics 2014-03-11 R. Coïsson

A broad class of contour gauges is shown to be determined by admissible contractions of the geometrical region considered and a suitable equivalence class of curves is defined. In the special case of magnetostatics, the relevant…

High Energy Physics - Theory · Physics 2009-10-31 L. Lukaszuk , E. Leader , A. Johansen

We show that for a particular choice of gauge the vector potential of any non-radiating source is spatially localized along with its electric and magnetic fields. Important on its own, this special property of non-radiating sources…

Optics · Physics 2017-05-03 Nikita A. Nemkov , Alexey A. Basharin , Vassily A. Fedotov

In this paper we analyze again a transition from the classical to quantum description of bound charged particles, which involves a substantial modification of the structure of their electromagnetic (EM) fields related to the well-known fact…

Atomic Physics · Physics 2011-03-22 T. Yarman , A. L. Kholmetskii , O. V. Missevitch

We introduce an equation named matrix Dirac equation which can be considered as a generalization of Dirac equation for an electron. The liaison between matrix Dirac equation and standard Dirac equation is discussed. We write a lagrangian…

Mathematical Physics · Physics 2007-05-23 N. G. Marchuk

The inverse problem for electromagnetic field produced by arbitrary altered charge distribution in dipole approximation is solved. The charge distribution is represented by its dipole moment. It is assumed that the spectral properties of…

Classical Physics · Physics 2015-05-06 V. Epp , J. G. Janz

The quantization of the SU(2)$\times $U(1) gauge-symmetric electroweak theory is performed in the Hamiltonian path-integral formalism. In this quantization, we start from the Lagrangian given in the unitary gauge in which the unphysical…

High Energy Physics - Theory · Physics 2007-05-23 Jun-Chen Su