Electromagnetic energy of electric and magnetic dipoles

Author:

Kholmetskii A.L.1,Missevitch O.V.2,Yarman T.3

Affiliation:

1. Belarusian State University, Minsk, Belarus.

2. Institute for Nuclear Problems, Belarusian State University, Minsk, Belarus.

3. Okan University, Akfirat, Istanbul, Turkey.

Abstract

We derive a novel expression for the relativistic energy of electric and magnetic dipoles in an external electromagnetic field and discuss its implications. In particular, we find the relativistic dependence of the energy of a dipole on its velocity, v, and show that in the most convenient presentation of the energy (when the proper electric (p0) and magnetic (m0) dipole moments are involved, whereas the electric (E) and magnetic (B) fields are defined in the laboratory frame), its value essentially depends on the orientation of the velocity, v, with respect to vectors p0, E, and m0, B. To better understand the relativistic behavior of the energy of electric and magnetic dipoles, we introduce the notion of “latent” momentum of an electric dipole, in addition to the known concept of “hidden” momentum of a magnetic dipole. We finally show that the contribution of energy terms related to “hidden” and “latent” momenta of an electric or magnetic dipole is important in the relativistic case.

Publisher

Canadian Science Publishing

Subject

General Physics and Astronomy

Reference15 articles.

1. Electromagnetic force on a moving dipole

2. Reply to comments on ‘Electromagnetic force on a moving dipole’

3. TORQUE ON A MOVING ELECTRIC/MAGNETIC DIPOLE

4. W.K.H. Panofsky and M. Phillips. Classical electricity and magnetism, 2nd ed. Wiley, New York. 1962.

5. A.O. Barut. Electrodynamics and classical theory of fields and particles. Dover, New York. 1980.

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