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At time t the electron's rest frame K' and the laboratory frame K are related by a
Lorentz transformation with velocity v. At time t + 6t the electron's rest frame has
now changed to K", related to K by a Lorentz transformation with velocity v + 6v.
is an invariant under Lorentz transformations. This is then exactly the requirement
that Lorentz transformations are rotations in a four-dimensional Euclidean space
or, more correctly, are orthogonal transformations in four dimensions.
0 (11.112) Al 11.10 Transformation of the Electromagnetic Fields Since the fields
E and B are elements of the field-strength tensor F., their transformation
properties can be found from Fiv = a,za, Fa, (11.113) With transformation (11.75)
from a ...
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Introduction to Electrostatics
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