Let be two four-vectors. Show that the scalar product is a Lorentz invariant scalar. It will be

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Let be two four-vectors. Show that the scalar product is a Lorentz invariant scalar. It will be convenient to write a = a_ΙΙ+ a_⊥and similarly for b.

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Modern Electrodynamics

ISBN: 9780521896979

1st Edition

Authors: Andrew Zangwill

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Question Posted: Jul 30, 2023 08:20 AM

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Let be two four-vectors. Show that the scalar product is a Lorentz invariant scalar. It will be

Question:

à = (a, a4) and b = (b, b4)

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To show that the scalar product a b ab ab a4b4 is a Lorentz invariant scalar we need to demonstrate that it has the same value in all inertial frames ...View the full answer

Modern Electrodynamics

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