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I propose a new and direct connection between classical mechanics and quantum mechanics where I derive the quantum mechanical propagator from a variational principle. This variational principle is Hamilton's modified principle generalized…

Quantum Physics · Physics 2009-12-15 John Hegseth

Lie-Poisson electrodynamics describes the semi-classical limit of non-commutative $U(1)$ gauge theory, characterized by Lie-algebra-type non-commutativity. We focus on the mechanics of a charged point-like particle moving in a given gauge…

High Energy Physics - Theory · Physics 2024-12-16 B. S. Basilio , V. G. Kupriyanov , M. A. Kurkov

In the present paper, dynamics of generalized charged particles are studied in the presence of external electromagnetic interactions. This particular extension of the free relativistic particle model lives in Non-Commutative…

High Energy Physics - Theory · Physics 2014-05-09 Souvik Pramanik , Subir Ghosh , Probir Pal

A gauge theory with an indefinite metric without negative probabilities is given by extending quantum mechanics, where a general metric is introduced, and the invariance under the general linear transformation is imposed on the space of…

General Physics · Physics 2026-01-21 Kimihide Nishimura

We study quantum electrodynamics on the noncommutative Minkowski space in the Yang-Feldman formalism. Local observables are defined by using covariant coordinates. We compute the two-point function of the interacting field strength to…

High Energy Physics - Theory · Physics 2010-12-23 Jochen Zahn

The quantization of the electrical charge in the electrodynamics and of the hypercharge in the standard model are imposed in the theory based not on theoretical arguments but on the experimental observations. In this paper we propose a…

High Energy Physics - Phenomenology · Physics 2018-12-05 Renata Jora

We develop a field-quantization scheme for calculating quantum electrodynamic effects on polarizabilities of light atomic systems. This scheme is based on the theory of long-wavelength quantum electrodynamics of Pachucki [Phys. Rev. A…

Atomic Physics · Physics 2020-01-08 Xuesong Mei , Wanping Zhou , Haoxue Qiao

In the framework of linearized quantum gravity, we study the quantum gravitational interaction between two nonpointlike objects induced by fluctuating gravitomagnetic fields in vacuum. We find that, in addition to the quantum gravitational…

General Relativity and Quantum Cosmology · Physics 2024-06-26 Di Hao , Jiawei Hu , Hongwei Yu

We show that the uniform motion of a homogeneous distribution of electric charge can be stable or unstable depending on its geometry. When the electrodynamic body is perturbed from a state of rest, it starts to perform fast oscillations,…

Classical Physics · Physics 2020-08-11 Álvaro G. López

The causal perturbation theory is an axiomatic perturbative theory of the S-matrix. This formalism has as its essence the following axioms: causality, Lorentz invariance and asymptotic conditions. Any other property must be showed via the…

High Energy Physics - Theory · Physics 2017-09-25 R. Bufalo , B. M. Pimentel , D. E. Soto

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

Quantum electrodynamics (QED) is a cornerstone of particle physics and also finds diverse applications in condensed matter systems. Despite its significance, the dynamics of quantum electrodynamics under a quantum quench remains…

Statistical Mechanics · Physics 2023-12-22 Ming-Rui Li , Shao-Kai Jian

A theory of electromagnetism is proposed that is based on the Fermi Lagrangian, which is symmetric under electromagnetic spin rotation. Its features are: - the four-potential is unambiguously determined by the inhomogeneous wave equation…

Optics · Physics 2024-04-08 A. B. van Oosten

To develop a systematic treatment of the self-interaction problem in classical gauge theories and general relativity, we study tenable manifestations of self-interaction: topological phases, and rearrangements of degrees of freedom…

High Energy Physics - Theory · Physics 2019-04-16 B. P. Kosyakov

We build up a consistent theory of quantum electrodynamics in the presence of macroscopic polarizable media. We use the Huttner-Barnett model of a dispersive and absorbing dielectric medium and formulate the theory in terms of interacting…

Quantum Physics · Physics 2012-08-17 Claudia Eberlein , Robert Zietal

In this work we modify the wave-corpuscle mechanics for elementary charges introduced by us recently. This modification is designed to better describe electromagnetic (EM) phenomena at atomic scales. It includes a modification of the…

Classical Physics · Physics 2015-05-14 Anatoli Babin , Alexander Figotin

There are known problems of Lorentz-Dirac equation for moving with acceleration charged particle in classical electrodynamics. The model of extended in one dimension particle is proposed and shown that electromagnetic self-interaction can…

High Energy Physics - Theory · Physics 2007-05-23 Alexander A. Vlasov

The classical Maxwell-Dirac and Maxwell-Klein-Gordon theories admit solutions of the field equations where the corresponding electric current vanishes in the causal complement of some bounded region of Minkowski space. This poses the…

High Energy Physics - Theory · Physics 2009-10-31 Detlev Buchholz , Sergio Doplicher , Giovanni Morchio , John E. Roberts , Franco Strocchi

Using the gauge-invariant but path-dependent variables formalism, we compute the static quantum potential for noncommutative axionic electrodynamics, and find a radically different result than the corresponding commutative case. We…

High Energy Physics - Theory · Physics 2008-11-26 Patricio Gaete , Iván Schmidt

We will introduce a gauge model which an electromagnetic coupling constant and local mass are related to all the charge in the universe. we will use the standard Dirac action, but where the mass and the electromagnetic coupling constant are…

High Energy Physics - Theory · Physics 2011-06-29 E . I. Guendelman , R. Steiner
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