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Elastic angular momentum is an emerging field, with some controversies on the correct field-theory expressions and the decomposition of longitudinal and transverse components. Motivated by the recent two papers [Phys.Rev.Lett. 128,…

Classical Physics · Physics 2023-08-11 Zi-Wei Chen , Bang-Hui Hua , Xiang-Song Chen

In condensed matter systems it is necessary to distinguish between the momentum of the constituents of the system and the pseudomomentum of quasiparticles. The same distinction is also valid for angular momentum and pseudoangular momentum.…

Mesoscale and Nanoscale Physics · Physics 2021-03-24 Simon Streib

We examine the momentum and angular momentum (including spin) properties of linear waves, both longitudinal (Langmuir) and transverse (electromagnetic), in an isotropic nonrelativistic collisionless electron plasma. We focus on conserved…

Optics · Physics 2022-06-28 Konstantin Y. Bliokh , Yury P. Bliokh

We address a problem of proper definition of momentum density for spatially structured electromagnetic fields. We show that the expressions for the momentum and angular momentum obtained locally are not the same when one uses the canonical…

Quantum Physics · Physics 2022-07-04 Andrei Afanasev , Carl E. Carlson , Asmita Mukherjee

Exact conservation of the angular momentum is worked out for an elastic medium with spins. The intrinsic anharmonicity of the elastic theory is shown to be crucial for conserving the total momentum. As a result, any spin-lattice dynamics…

Mesoscale and Nanoscale Physics · Physics 2021-04-07 Dmitry A. Garanin , Eugene M. Chudnovsky

It is well-known that electric spin angular momentum and electric orbital angular momentum are conserved under paraxial propagation of travelling waves in free-space. Here we study the electric and magnetic angular momentum in…

Optics · Physics 2021-01-04 Hang Li , Valeria Rodriguez-Fajardo , Peifeng Chen , Andrew Forbes

We compute the angular momentum of the electromagnetic field on a late time Cauchy surface with an arbitrary constant normal vector relevant for the classical scattering of charged particles. We find a time independent contribution to the…

High Energy Physics - Theory · Physics 2022-09-08 Rishabh Bhardwaj , Luke Lippstreu

By means of the Helmholtz theorem on the decomposition of vector fields, the angular momentum of the classical electromagnetic field is decomposed, in a general and manifestly gauge invariant manner, into a spin component and an orbital…

Optics · Physics 2007-05-23 A. M. Stewart

Invoking Maxwell's classical electrodynamics in conjunction with expressions for the electromagnetic (EM) energy, momentum, force, and torque, we use a few simple examples to demonstrate the nature of linear and angular momentum exchange…

Optics · Physics 2018-09-17 Masud Mansuripur

There is an unsettled problem in choosing the correct expressions for the local momentum density and angular momentum density of electromagnetic fields (or indeed, of any non-scalar field). If one only examines plane waves, the problem is…

Optics · Physics 2022-10-03 Andrei Afanasev , Carl E. Carlson , Asmita Mukherjee

Invoking Maxwell's classical equations in conjunction with expressions for the electromagnetic (EM) energy, momentum, force, and torque, we use a few simple examples to demonstrate the nature of the EM angular momentum. The energy and the…

Optics · Physics 2017-06-09 Masud Mansuripur

Linear and angular momenta of a soliton in a ferromagnet are commonly derived through the application of Noether's theorem. We show that these quantities exhibit unphysical behavior: they depend on the choice of a gauge potential in the…

Mesoscale and Nanoscale Physics · Physics 2015-10-12 Oleg Tchernyshyov

This paper inspects more closely the problem of the momentum and energy of a bound (non-radiating) electromagnetic (EM) field. It has been shown that for an isolated system of non-relativistic mechanically free charged particles a…

Classical Physics · Physics 2007-05-23 Alexander L. Kholmetskii

We propose a novel framework that interprets the electromagnetic field as a manifestation of spacetime pseudo-curvature, bridging electromagnetism with the geometric principles of general relativity. By introducing modified field equations,…

Classical Physics · Physics 2025-04-17 Faik Bouhrik , Tiju Thomas

To model momentum exchange in nonlinear wave-particle interaction, as in amplification devices like traveling-wave tubes, we use an $N$-body self-consistent hamiltonian description based on Kuznetsov's discrete model, and we provide new…

Plasma Physics · Physics 2018-08-01 Damien Minenna , Yves Elskens , Frédéric André , Fabrice Doveil

Angular momentum is traditionally taught as a (pseudo)vector quantity, tied closely to the cross product. This approach is familiar to experts but challenging for students, and full of subtleties. Here, we present an alternative pedagogical…

Physics Education · Physics 2023-08-21 Steuard Jensen , Jack Poling

By using perturbation theory, we show that a hydrogen atom with magnetic moment due to the orbital angular momentum of the electron has "hidden momentum" in the presence of an external electric field. This means that the atomic electronic…

Quantum Physics · Physics 2015-11-18 J. S. Oliveira Filho , Pablo L. Saldanha

This two-paper series addresses and fixes the long-standing gauge invariance problem of angular momentum in gauge theories. This QED part reveals: 1) The spin and orbital angular momenta of electrons and photons can all be consistently…

High Energy Physics - Phenomenology · Physics 2007-09-25 X. S. Chen , X. F. Lü , W. M. Sun , F. Wang , T. Goldman

Due to proton spin crisis it is necessary to understand the gauge invariant definition of the spin and orbital angular momentum of the quark and gluon from first principle. In this paper we derive the gauge invariant Noether's theorem by…

High Energy Physics - Phenomenology · Physics 2018-03-30 Gouranga C Nayak

The concept of angular momentum is ubiquitous to many areas of physics. In classical mechanics, a system may possess an angular momentum which can be either transverse (e.g., in a spinning wheel) or longitudinal (e.g., for a fluidic vortex)…

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