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References in periodicals archive ?
Let us here call this a scalar-bispinor and let us denote it with the symbol f and because of its scalar nature--under a Lorentz transformation, we will have ([phi]' = [phi]).
The Lorentz transformation method can be used to solve the scattered field from a moving object.
Anderson proposed that thermodynamics should not focus on the Lorentz transformations, because a Lorentz transformation is not needed, as in a stationary frame of coordinates, to meet the principal of special relativity.
We remind that Fischer obtained Equation (6) via the Lorentz transformations for the distance [15]
The beauty of the transformation relations (118)-(120) is that the generalized Dirac-Maxwell equations for dyonic fluid of cold plasma are well invariant under these Lorentz transformation.
Robertson set out to establish the Lorentz transformations without recourse to the relativity principle, in either weak or strong form.(16) His starting point was Einstein's PLC postulate, and the standard spatio-temporal symmetries; the point of the study was to establish the constraints imposed on the linear coordinate transformations by the important experiments due to Michelson and Morley (1887).
If the defect is displaced from the frame's origin, the resulting Poincare holonomy in addition to a Lorentz transformation contains also a translation, carrying information about the defect's position [8, 35].
Namely, the Lorentz transformation (to which Voigt, Larmor, Poincare and Lorentz contributed in various degree) evolved to a symmetrical form reflecting the STR founding postulates instead of the Lorentz's assumptions.
Then the Lorentz transformation (12) can be interpreted as a usual gauge transformation
By this it is meant that the velocity of light (c) in vacuum is constant, [11], and in combination with the principles of relativity, follows the relativity of simultaneity, the Lorentz transformation rules, and the related laws indicating the behaviour of bodies in motion.