arXiv subjects

Murat Khokonov

Publications and source records attributed to Murat Khokonov.

2 recordsLinked to original sources

arXiv2019

On the quantum interpretation of the classical Schott term in the theory of radiation damping

The quantum interpretation of classical radiation reaction coming from the near electromagnetic self-force (the so-called "Schott term") is given for the first time. The analysis is based on the Landau--Lifshitz equation for classical ultrarelativistic motion including radiation reaction effects for the case of channeling radiation in oriented crystals in the wide region of electron energies from few MeV and up to hundreds GeV. This type of radiation is unique in that sense that it has a pronounced quantum character in two extreme cases of low and high energies. We show that quantum transitions between the transverse energy states of channeling particles represent the quantum analog of the classical Schott term. The impetus for this work was the recent reports on the feasibility of detecting experimentally the effects of the action of classical radiative self-force on the motion of electrons (positrons) channelled in oriented crystals at the CERN Secondary Beam Areas (SBA) beamlines, although the basic results of this work are valid for arbitrary ultrarelativistic motion.

physics.atom-ph↗

arXiv2018

Equivalence between electromagnetic self-energy and self-mass

A cornerstone of physics, Maxwell's theory of electromagnetism, apparently contains a fatal flaw. The standard expressions for the electromagnetic field energy and self-mass of an electron of finite extension do not obey Einstein's famous equation, $E=mc^2$, but instead fulfill this relation with a factor 4/3 on the left-hand side. Many famous physicists have contributed to the debate of this so-called 4/3-problem but without arriving at a complete solution. Here, a comprehensive solution is presented. The problem is caused by an incorrect treatment of rigid-body dynamics. Relativistic effects are important even at low velocities and equivalence between electromagnetic field energy and self-mass of the electron is restored when these effects are included properly. In a description of the translational motion of a rigid body by point-particle dynamics, its mechanical energy and momentum must be defined as a sum of the energies and momenta of its parts for fixed time, not in the laboratory as in the standard expressions but in the rest frame of the body, and for consistency of the description, the energy and momentum of the associated field must be defined in the same way.

physics.class-ph↗