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... equations (1 1.20) can be combined to yield the general Lorentz transformation
:* 1 Ax-v 1 x' = x + Tt (11.21) It should be noted that (1 1.21) represents a single
Lorentz transformation to a reference frame K' moving with velocity v relative to ...
At time / the electron's rest frame K' and the laboratory frame K are related by a
Lorentz transformation with velocity v. At time t + dt the electron's rest frame has
now changed to K", related to K by a Lorentz transformation with velocity v + <5v.
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.
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Introduction to Electrostatics
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