Generalised relativistic Ohm's laws, extended gauge transformations, and magnetic linking
Abstract
Generalisations of the relativistic ideal Ohm's law are presented that include specific dynamical features of the current carrying particles in a plasma. Cases of interest for space and laboratory plasmas are identified where these generalisations allow for the definition of generalised electromagnetic fields that transform under a Lorentz boost in the same way as the real electromagnetic fields and that obey the same set of homogeneous Maxwell's equations.
 Authors:
 Dipartimento di Fisica, Università di Pisa, 56100 Pisa (Italy)
 Publication Date:
 OSTI Identifier:
 22489822
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physics of Plasmas; Journal Volume: 22; Journal Issue: 11; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; CURRENTS; ELECTROMAGNETIC FIELDS; GAUGE INVARIANCE; LORENTZ FORCE; MAXWELL EQUATIONS; OHM LAW; PARTICLES; PLASMA; RELATIVISTIC RANGE
Citation Formats
Pegoraro, F. Generalised relativistic Ohm's laws, extended gauge transformations, and magnetic linking. United States: N. p., 2015.
Web. doi:10.1063/1.4935282.
Pegoraro, F. Generalised relativistic Ohm's laws, extended gauge transformations, and magnetic linking. United States. doi:10.1063/1.4935282.
Pegoraro, F. Sun .
"Generalised relativistic Ohm's laws, extended gauge transformations, and magnetic linking". United States.
doi:10.1063/1.4935282.
@article{osti_22489822,
title = {Generalised relativistic Ohm's laws, extended gauge transformations, and magnetic linking},
author = {Pegoraro, F.},
abstractNote = {Generalisations of the relativistic ideal Ohm's law are presented that include specific dynamical features of the current carrying particles in a plasma. Cases of interest for space and laboratory plasmas are identified where these generalisations allow for the definition of generalised electromagnetic fields that transform under a Lorentz boost in the same way as the real electromagnetic fields and that obey the same set of homogeneous Maxwell's equations.},
doi = {10.1063/1.4935282},
journal = {Physics of Plasmas},
number = 11,
volume = 22,
place = {United States},
year = {Sun Nov 15 00:00:00 EST 2015},
month = {Sun Nov 15 00:00:00 EST 2015}
}
DOI: 10.1063/1.4935282
Other availability
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.

Global gauge transformations and conserved, gaugeinvariant electric and magnetic charges in YangMills gauge theories
We construct gaugeinvariant, conserved electric and magnetic charges in gauge theories of the YangMills type. Global gauge transformations play a central role in defining these charges. As an illustration, we demonstrate explicitly how this definition of charges provides a finer classification than ..pi../sub 1/(SO(3)) for the nonAbelian SO(3) monopoles of the Dirac type. In our formulation, the problem of global color in the presence of a magnetic monopole is transparent and it is in fact a general phenomenon in theories involving nontrivial principal fiber bundles with nonAbelian gauge groups. 
Asymptotic channels and gauge transformations of the timedependent Dirac equation for extremely relativistic heavyion collisions
We discuss the twocenter, timedependent Dirac equation describing the dynamics of an electron during a peripheral, relativistic heavyion collision at extreme energies. We derive a factored form, which is exact in the highenergy limit, for the asymptotic channel solutions of the Dirac equation, and elucidate their close connection with gauge transformations which transform the dynamics into a representation in which the interaction between the electron and a distant ion is of short range. We describe the implications of this relationship for solving the timedependent Dirac equation for extremely relativistic collisions. {copyright} {ital 1999} {ital The American Physical Society}