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New, gauge-independent, second-order Lagrangian for the motion of classical, charged test particles is proposed. It differs from the standard, gauge-dependent, first order Lagrangian by boundary terms only. A new method of deriving…

Classical Physics · Physics 2015-06-26 D. Chruscinski , J. Kijowski

The Maxwell electromagnetic and the Lorentz type force equations are derived in the framework of the R. Feynman proper time paradigm and the related vacuum field theory approach. The electron inertia problem is analyzed within the…

Classical Physics · Physics 2015-11-03 Anatolij K. Prykarpatsky , Nikolai N. Bogolubov

An appropriate Lagrangian is considered for a system comprising a moving nanoparticle in a semi-infinite space, and the electromagnetic and matter fields are quantized. Through an analysis of the absorbed power radiation, it is demonstrated…

Quantum Physics · Physics 2024-02-27 Vahid Ameri , Alidad Askari , Morteza Rafiee , Mohammad Eghbali-Arani

A missing angle-dependent prefactor in the wave functions for half-integer magnetic flux obtained in [Y. Aharonov and D. Bohm, Phys. Rev. 115, 485 (1959)] is supplied, without which the result is not single-valued. No physical conclusions…

Quantum Physics · Physics 2023-03-10 Siddhant Das

In a brief but brilliant derivation that can be found in Maxwell's Treatise and traced back to his 1861 and 1865 papers, he derives the force on a moving electric charge subject to electromagnetic fields from his mathematical expression of…

History and Philosophy of Physics · Physics 2020-06-01 Arthur D. Yaghjian

The analysis of the dynamics of a material point perfectly constrained to a submanifold of the three-dimensional euclidean space and subjected to a locally conservative force's field, namely a force's field corresponding to a closed but not…

Mathematical Physics · Physics 2007-05-29 Gavriel Segre

In the present work, we study the classical behavior of an electric dipole in presence of an external uniform magnetic field. We derive equations and constants of motion from the Lagrangian formulation. We obtain an infinitely periodic…

Classical Physics · Physics 2009-11-11 Paulina I. Troncoso , Sergio Curilef

A new force on the magnetic dipole, which exists in the presence of both electric and magnetic fields, is described. Its origin due to the `hidden momentum', implications and possible experimental tests are discussed.

High Energy Physics - Theory · Physics 2007-05-23 Jeeva S. Anandan

Closed nonrelativistic (nonretarded) theory of conservative and dissipative electromagnetic forces and heat exchange between moving particles (nanoprobes) and a surface (flat and cylindrical) is reviewed. The formalism is based on methods…

Mesoscale and Nanoscale Physics · Physics 2011-03-29 G. V. Dedkov , A. A. Kyasov

The concept of hidden momentum is reviewed and the first rigorous derivation from Maxwell's equations is provided for the electromagnetic force on electrically small perfect electric conductors of arbitrary shape in bandlimited but…

Classical Physics · Physics 2018-11-19 Arthur D. Yaghjian

The present technical notes offer a brief summary of the essential points of electromagnetism at the undergraduate physics level. Some problems are presented at the end of each section; those with solutions are marked with an asterisk.

Classical Physics · Physics 2012-09-17 Christine C. Dantas

The derivation of the Maxwell equations is reproduced whereby magnetic charges are included. This ansatz yields the results: 1) Longitudinal Ampere forces in a differential magnetostatic force law are improbable. Otherwise an electric…

General Physics · Physics 2007-05-23 W. D. Bauer

This is a comment on the work of Kolomeisky et al., Phys. Rev. Lett. 85, 1146 (2000). We point out that they are using the wrong form of the energy functional for one-dimensional fermions. We point out two possible forms of the energy…

Statistical Mechanics · Physics 2009-11-07 R. K. Bhaduri , Diptiman Sen

We calculate the optical force and torque applied to an electric dipole by a spinning light field. We find that the dissipative part of the force depends on the orbital energy flow of the field only, because the latter is related to the…

The classical electromagnetic self-force on an arbitrary time-dependent electric or magnetic dipole moving with constant velocity in vacuum, and in a medium, is considered. Of course, in vacuum there is no net force on such a particle.…

High Energy Physics - Theory · Physics 2021-01-04 Kimball A. Milton , Hannah Day , Yang Li , Xin Guo , Gerard Kennedy

Recently D. Garcia-Sanches, K. Y. Fong, H. Bhaskaran, S. Lamoreaux, and H. X. Tang [Phys. Rev. Lett. v.109, 027202 (2012)] claimed that the frequency shift of an oscillator under the influence of the residual electric and Casimir forces is…

Quantum Physics · Physics 2015-06-11 M. Bordag , G. L. Klimchitskaya , V. M. Mostepanenko

This is a reply to W. Zawadzki's paper (arXiv: cond-mat/0701378) on non-exietence of spin transverse force for a relativistic electron. The force was first proposed by the present author that the spin current will experience a transverse…

Materials Science · Physics 2007-10-27 Shun-Qing Shen

We discuss a previously unpublished description of electromagnetism outlined by Richard P. Feynman in the 1960s in five handwritten pages, recently uncovered among his papers, and partly developed in later lectures. Though similar to the…

History and Philosophy of Physics · Physics 2019-10-17 Roberto De Luca , Marco Di Mauro , Salvatore Esposito , Adele Naddeo

A concise discussion of the 3-dimensional irreducible (1,0) and (0,1) representations of the restricted Lorentz group and their application to the description of the electromagnetic field is given. It is shown that a mass term is in…

Mathematical Physics · Physics 2013-02-15 Andreas Aste

From the energy-momentum tensors of the electromagnetic field and the mechanical energy-momentum, the equations of energy conservation and balance of electromagnetic and mechanical forces are obtained. The equation for the Abraham force in…

Classical Physics · Physics 2017-05-25 Yurii A. Spirichev