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The Lorentz Transformation is derived from only three simple postulates: (i) a weak kinematical form of the Special Relativity Principle that requires the equivalence of reciprocal space-time measurements by two different inertial…

经典物理 · 物理学 2016-09-08 J. H. Field

The basic concepts of the formulation of Maxwellian electromagnetism in the absence of a Minkowski scalar product on spacetime are summarized, with particular emphasis on the way that the electromagnetic constitutive law on the space of…

广义相对论与量子宇宙学 · 物理学 2007-05-23 David Delphenich

An algebraic description of basic physical fields (neutrino field, electron-positron field and electromagnetic field) is studied. It is sown that the electromagnetic field can be described within a quotient representation of the proper…

数学物理 · 物理学 2007-05-23 Vadim V. Varlamov

We observe shift in the zero magnetic field resonance as the handedness of resonantly interacting circularly polarized light is changed. The characteristic of the shift resembles with the Zeeman light shift that arises due to interaction of…

原子物理 · 物理学 2018-01-22 Swarupananda Pradhan

The Lorentz Transformations are derived without any linearity assumptions and without assuming that y and z coordinates transform in a Galilean manner. Status of the invariance of the speed of light is reduced from a foundation of the…

综合物理 · 物理学 2007-05-23 Rostislav Polishchuk

In the usual Clifford algebra formulation of electrodynamics the Faraday bivector field F is decomposed into the observer dependent sum of a relative vector E and a relative bivector e_5 B by making a space-time split, which depends on the…

高能物理 - 理论 · 物理学 2007-05-23 Tomislav Ivezic

Electrodynamic phenomena related to vortices in superconductors have been studied since their prediction by Abrikosov, and seem to hold no fundamental mysteries. However, most of the effects are treated separately, with no guiding…

超导电性 · 物理学 2012-02-23 A. J. Beekman , J. Zaanen

Based on the form-invariant of Maxwell's equations under coordinate transformations, we extend the theory of transformation optics to transformation magneto-statics, which can design magnets through coordinate transformations. Some novel DC…

经典物理 · 物理学 2014-10-21 F. Sun , S. He

In this paper it is shown that in the approach to special relativity which exclusively deals with the four-dimensional geometric quantities (4D GQs), the invariant special relativity (ISR), there is not recently posed paradox that in a…

综合物理 · 物理学 2013-08-02 Tomislav Ivezic

A general affine connection has enough degrees of freedom to describe the classical gravitational and electromagnetic fields in the metric-affine formulation of gravity. The gravitational field is represented in the Lagrangian by the…

广义相对论与量子宇宙学 · 物理学 2008-03-03 Nikodem J. Poplawski

In this paper we review recent progress on relativistic hydrodynamics in (2 + 1)-dimensions with an external magnetic field. We discuss the formalism allowing for momentum loss due to the explicit and spontaneous breaking of translation…

高能物理 - 理论 · 物理学 2022-09-26 Andrea Amoretti , Daniel K. Brattan

Local Lorentz transformations play an important role in teleparallel gravity theories, in which a tetrad is conventionally employed as a fundamental field variable describing the gravitational field. It is commonly understood that…

广义相对论与量子宇宙学 · 物理学 2022-11-09 Manuel Hohmann

In this paper we use the classical electrodynamics to show that the Lorenz gauge can be incompatible with some particular solutions of the d Alembert equations for electromagnetic potentials. In its turn, the d Alembert equations for the…

综合物理 · 物理学 2017-05-29 S. A. Trigger

The photon behavior in an arbitrary superposition of constant magnetic and electric fields is considered on most general grounds basing on the first principles like Lorentz- gauge- charge- and parity-invariance. We make model- and…

高能物理 - 理论 · 物理学 2011-02-11 Anatoly E. Shabad , Vladimir V. Usov

By describing the dynamical evolution of a test charged particle in the presence of an electromagnetic field as a succession of infinitesimal Lorentz boosts and rotations it is possible to obtain the Lorentz Force of Electrodynamics. A…

数学物理 · 物理学 2009-01-21 J. Buitrago

Both acoustics and electromagnetism represent measurable fields in terms of dynamical potential fields. Electromagnetic force-fields form a spacetime bivector that is represented by a dynamical energy-momentum 4-vector potential field.…

数学物理 · 物理学 2024-08-27 Lucas Burns , Tatsuya Daniel , Stephon Alexander , Justin Dressel

We present a thorough analysis of the electron density distribution (shape) of two electrons, confined in the three-dimensional harmonic oscillator potential, as a function of the perpendicular magnetic field.Explicit algebraic expressions…

介观与纳米尺度物理 · 物理学 2018-03-20 N. S. Simonovic , R. G. Nazmitdinov

We review the Inertial transformation and Lorentz transformation under a new context, by using Clifford Algebra or Geometric Algebra. The apparent contradiction between theses two approach is simply stems from different procedures for clock…

广义相对论与量子宇宙学 · 物理学 2013-11-26 R. de Oliveira , S. J. da Silva , V. H. G. de Campos

We describe the physical relativity of light and matter quantum subsystems, their correlations, and energy exchanges. We examine the most commonly adopted definitions of atoms and photons, noting the significant difference in their…

量子物理 · 物理学 2023-11-20 Adam Stokes , Hannah Riley , Ahsan Nazir

We derive the asymptotic symmetries of the manifestly duality invariant formulation of electromagnetism in Minkoswki space. We show that the action is invariant under two algebras of angle-dependent $u(1)$ transformations, one electric and…

高能物理 - 理论 · 物理学 2020-07-15 Marc Henneaux , Cédric Troessaert