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Potentials of a uniformly moving point charge in the Coulomb gauge.

Authors
Hnizdo-V
Source
Eur J Phys 2004 May; 25(3):351-360
NIOSHTIC No.
20031571
Abstract
The Coulomb-gauge vector potential of a uniformly moving point charge is obtained by calculating the gauge function for the transformation between the Lorenz and Coulomb gauges. The expression obtained for the difference between the vector potentials in the two gauges is shown to satisfy a Poisson equation to which the inhomogeneous wave equation for this quantity can be reduced. The right-hand side of the Poisson equation involves an important but easily overlooked delta-function term that arises from a second-order partial derivative of the Coulomb potential of a point charge.
Keywords
Mathematical-models; Statistical-analysis; Qualitative-analysis; Quantitative-analysis
Contact
V Hnizdo, NIOSH, Morgantown, WV 26505
CODEN
EJPHD4
Publication Date
20040501
Document Type
Journal Article
Email Address
vbh5@cdc.gov
Fiscal Year
2004
Issue of Publication
3
ISSN
0143-0807
NIOSH Division
HELD
Source Name
European Journal of Physics
State
OH
Page last reviewed: April 12, 2019
Content source: National Institute for Occupational Safety and Health Education and Information Division