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The origin of electromagnetic momentum for general static charge-current distributions is examined. The electromagnetic momentum for static electromagnetic fields is derived by implementing conservation of momentum for the sum of mechanical…

General Physics · Physics 2015-06-15 Jerrold Franklin

Waves of various types carry momentum, which is associated with their propagation direction, i.e., the phase gradient. The circulation of the wave momentum density gives rise to orbital angular momentum (AM). Additionally, for waves…

Optics · Physics 2025-10-17 Konstantin Y. Bliokh

We prove that, when linearized, the governing equations of an incompressible elastic continuum yield Maxwell's equations as corollaries. Through judicious distinction between the referential and local descriptions, the principle of material…

General Physics · Physics 2009-04-11 C. I. Christov

We develop a general framework to analyze the two important and much discussed questions concerning (a) `orbital' and `spin' angular momentum carried by light and (b) the paraxial approximation of the free Maxwell system both in the…

Quantum Physics · Physics 2018-11-14 Arvind , Subhash Chaturvedi , N. Mukunda

It is shown that due to Thomas precession, angular momentum is not generally a constant of the motion in a quasiclassical model of the Positronium atom consisting of circular-orbiting point charges with intrinsic spin and associated…

Classical Physics · Physics 2010-12-13 David C. Lush

There are important differences between the nonrelativistic and relativistic description of electron beams. The orbital angular momentum quantum number cannot be used to specify the wave functions in the relativistic case. In this Letter we…

Quantum Physics · Physics 2017-03-17 Iwo Bialynicki-Birula , Zofia Bialynicka-Birula

Various processes that are forbidden in the vacuum due to angular momentum conservation can occur in a medium that is isotropic and does not carry any angular momentum. We illustrate this by considering explicitly two examples. The first…

High Energy Physics - Phenomenology · Physics 2010-04-30 José F. Nieves , Palash B. Pal

Generalized definitions for angular and linear momentum are given and shown to reduce to the ADM (at spatial infinity) definitions and the definitions at null infinity in the appropriate limit. These definitions are used to express angular…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Anthony Rizzi

The angular momentum of a classical electromagnetic plane wave of arbitrary extent is predicted to be, on theoretical grounds, exactly zero. However, finite sections of circularly polarized plane waves are found experimentally to carry…

Classical Physics · Physics 2009-04-30 A. M. Stewart

We summarize a recent work on the title subject, skipping the detailed calculations but introducing the basic points with enough detail. The theory considered is formulated in a preferred reference frame in a four-dimensional spacetime…

General Physics · Physics 2017-10-18 Mayeul Arminjon

We show that the Power-Zienau-Woolley picture of the electrodynamics of nonrelativistic neutral particles (atoms) can be derived from a gauge-invariant Lagrangian without making reference to any gauge whatsoever in the process. This…

Quantum Physics · Physics 2021-09-21 A. Vukics , G. Kónya , P. Domokos

It is a long-standing problem in general relativity that the notion of angular momentum of an isolated system has supertranslation ambiguity. In this paper, we argue that the ambiguity is essentially because of the gravitational wave…

General Relativity and Quantum Cosmology · Physics 2025-12-30 Pujian Mao , Jun-Bao Wu , Xiaoning Wu

We discuss two expressions for the conserved quantities (energy momentum and angular momentum) of the Poincar\'e Gauge Theory. We show, that the variations of the Hamiltonians, of which the expressions are the respective boundary terms, are…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Ralf. D Hecht

In nonrelativistic quantum mechanics, the total (i.e. orbital plus spin) angular momentum of a charged particle with spin that moves in a Coulomb plus spin-orbit-coupling potential is conserved. In a classical nonrelativistic treatment of…

Classical Physics · Physics 2015-05-27 V. Hnizdo

We develop a complete relativistic theory to describe the dynamics of electronic angular momentum including both spin (S) and orbital (L) contributions in magnetic systems. We start with the relativistic Dirac-Kohn-Sham Hamiltonian under…

Other Condensed Matter · Physics 2026-05-19 Subhadip Santra , Ritwik Mondal , Marco Berritta , Peter M. Oppeneer

The fundamental difference between the true transformations (TT) and the apparent transformations (AT) is explained. The TT refer to the same quantity, while the AT refer, e.g., to the same measurement in different inertial frames of…

General Physics · Physics 2007-05-23 Tomislav Ivezic

It is shown how the standard forms for the spin and orbital components of the angular momentum of a paraxial wave of electromagnetic radiation are obtained from the general expressions for the angular momentum that have been derived…

Classical Physics · Physics 2009-11-13 A. M. Stewart

Angular momentum at null infinity has a supertranslation ambiguity from the lack of a preferred Poincar\'e group and a similar ambiguity when the center-of-mass position changes as linear momentum is radiated. Recently, we noted there is an…

General Relativity and Quantum Cosmology · Physics 2021-04-01 Geoffrey Compère , David A. Nichols

We use an extended version of electrodynamics, which admits the existence of magnetic charges and currents, to discuss how different models for electric and magnetic dipoles do or do not carry hidden momentum under the influence of external…

Classical Physics · Physics 2018-07-11 Pablo L. Saldanha , J. S. Oliveira Filho

We investigate the carter like constant for a particle in a non relativistic dipolar field. This special case is a missing link between carter constant in stationary axially symmetric spacetime such as Kerr solution and its possible…

General Relativity and Quantum Cosmology · Physics 2015-07-08 Sajal Mukherjee , Rajesh Kumble Nayak