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11.5 With the definition that x = [(v. x)w]|vo and x = x – x, equations (11.20) can be
combined to yield the general Lorentz transformation:* x = x + –––. ** v--—w p? p
? t;2 1 – = 1–3 1 x • W (11.21) r--H(-o) It should be noted that (11.21) represents ...
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) w 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,zav, Fa, (11.113) With transformation (11.75)
from a ...
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Introduction to Electrostatics
BoundaryValue Problems in Electrostatics I
References and suggested reading
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