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In this paper we continue our analysis of a formulation of electrodynamics fully covariant under the full Poincar\'e group. Transformations under the four different components of the group force on us the introduction of particles, either…

数学物理 · 物理学 2008-11-26 Giuseppe Marmo , Wlodzimierz M. Tulczyjew

Classical results and recent developments on the theoretical description of elementary particles with "continuous" spin are reviewed. At free level, these fields are described by unitary irreducible representations of the isometry group…

高能物理 - 理论 · 物理学 2017-09-13 Xavier Bekaert , Evgeny D. Skvortsov

Changes in the magnetic moment of an electron near a dielectric or conducting surface due to boundary-dependent radiative corrections are investigated. The electromagnetic field is quantized by normal mode expansion for a non-dispersive…

量子物理 · 物理学 2013-07-12 Robert Bennett , Claudia Eberlein

Though the irreducible representations of the Poincare' group form the groundwork for the formulation of relativistic quantum theories of a particle, robust classes of such representations are missed in current formulations of these…

量子物理 · 物理学 2020-01-08 Giuseppe Nisticò

Using the general theory of [10] ( hep-th 9412058 ), quantum Poincar\'e groups (without dilatations) are described and investigated. The description contains a set of numerical parameters which satisfy certain polynomial equations. For most…

高能物理 - 理论 · 物理学 2011-07-18 P. Podles , S. L. Woronowicz

In the whole set of solutions of the Dirac equation there is a different class referred to as anomalous. Corresponding anomalous particles are independent of conventional ones. The concept of anomalous particles is applicable to Dirac…

综合物理 · 物理学 2026-04-10 Boris I. Ivlev

In this review, we have reached from the most basic definitions in the theory of groups, group structures, etc. to representation theory and irreducible representations of the Poincar'e group. Also, we tried to get a more comprehensible…

群论 · 数学 2024-09-04 Meysam Hassandoust

The concept of elementary particle rests on the idea that it is a physical system with no excited states, so that all possible states of the particle are just kinematical modifications of any one of them. In this way instead of describing…

综合物理 · 物理学 2008-11-26 Martin Rivas

In this work, we show that extending the standard description of space-time symmetries from groups of isometries to the more flexible framework of kinematical groupoids allows for the extension of Wigner's program to curved space-times. We…

数学物理 · 物理学 2026-04-08 Alberto Ibort , Giuseppe Marmo , Arnau Mas , Luca Schiavone

The claim that a particle is an irreducible representation of the Poincar\'e group -- what I call \emph{Wigner's identification} -- is now, decades on from Wigner's (1939) original paper, so much a part of particle physics folklore that it…

量子物理 · 物理学 2024-10-04 Adam Caulton

Eugene Wigner showed already in 1939 that the elementary particles are related to the irreducible representations of the Poincare algebra. In the light-cone frame formulation of quantum field theory one can extend these representations to…

高能物理 - 理论 · 物理学 2007-05-23 Lars Brink

Special-relativistic dynamically-generated elementary-particle mass is represented by a self-adjoint energy operator acting on a rigged Hilbert space (RHS) of functions over the 6-dimensional Euclidean-group manifold. The energy operator is…

综合物理 · 物理学 2008-02-21 Geoffrey F. Chew

Invariance under time translation (or stationarity) is probably one of the most important assumptions made when investigating electromagnetic phenomena. Breaking this assumption is expected to open up novel possibilities and result in…

应用物理 · 物理学 2021-10-06 M. S. Mirmoosa , T. T. Koutserimpas , G. A. Ptitcyn , S. A. Tretyakov , R. Fleury

After a revision of the main features of the structure of the Dirac electron a plausible definition of elementary particle is stated. It is shown that this definition leads in the classical case to a picture which produces a very clear…

经典物理 · 物理学 2007-05-23 Martin Rivas

A generalization of the pseudoclassical action of a spinning particle in the presence of an anomalous magnetic momentum is given. The action is written in reparametrization and supergauge invariant form. The Dirac quantization, based on the…

高能物理 - 理论 · 物理学 2011-03-31 D. M. Gitman , A. V. Saa

Upper limits on the electric dipole moments (EDM) of elementary particles and atoms are presented, and their physical implications are discussed. The bounds following from the neutron and atomic experiments are comparable. In particular,…

高能物理 - 唯象学 · 物理学 2009-10-31 I. B. Khriplovich

The spinning electron-electron interaction is described in classical terms by means of two possible classical interactions: The instantaneous Coulomb interaction between the charge centers of both particles and the Poincar\'e invariant…

经典物理 · 物理学 2025-11-19 Juan Barandiaran , Martin Rivas

When developing a quantum theory for a physical system, one determines the system's symmetry group and its irreducible unitary representations. For Minkowski space, the symmetry group is the Poincar\'e group, $\mathbb{R}^4 \rtimes…

广义相对论与量子宇宙学 · 物理学 2018-05-04 Eric Ling

According to the atomic principle an elementary particle has no excited states and under any interaction, if it is not annihilated, its internal structure cannot be modified. The intrinsic properties are the mass $m$ and the absolute value…

经典物理 · 物理学 2026-03-04 Martin Rivas

The expression for polarized electric dipole moment of well-deformed reflection asymmetric nuclei is obtained in the framework of liquid-drop model in the case of geometrically similar proton and neutron surfaces. The expression for…

核理论 · 物理学 2015-05-28 V. Yu. Denisov
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