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On Continuum Mechanics and Special Relativity
Author(s) -
Günther H.
Publication year - 1987
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221440105
Subject(s) - covariant transformation , physics , classical mechanics , lorentz covariance , theory of relativity , gauge theory , continuum mechanics , lorentz transformation , lorenz gauge condition , special relativity , mathematical physics , introduction to gauge theory , gauge anomaly
Abstract It is shown that the quasi elastic model of Maxwell's equations according to MacCullagh‐Sommerfeld can be defined by a non‐covariant gauge for the four potential A μ . The quasi elastic displacement vector s then is described by the vector potential A . Lorentz invariance of the mechanical model depends on the gauge invariance of the physically measurable quantities. A theoretical relation to relativistic kink equation can be seen.