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Introduction to Electrodynamics | 4th Edition | ISBN: 9780321856562 | Authors: David J. Griffiths
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(a) Write out the matrix that describes a Galilean

Chapter 12, Problem 18P

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QUESTION:

Problem 18P

(a) Write out the matrix that describes a Galilean transformation (Eq. 12.12).

(b) Write out the matrix describing a Lorentz transformation along the y axis.

(c) Find the matrix describing a Lorentz transformation with velocity v along the x axis followed by a Lorentz transformation with velocity  along the y axis. Does it matter in what order the transformations are carried out?

Equation 12.12

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QUESTION:

Problem 18P

(a) Write out the matrix that describes a Galilean transformation (Eq. 12.12).

(b) Write out the matrix describing a Lorentz transformation along the y axis.

(c) Find the matrix describing a Lorentz transformation with velocity v along the x axis followed by a Lorentz transformation with velocity  along the y axis. Does it matter in what order the transformations are carried out?

Equation 12.12

ANSWER:

Step 1 of 4

We have write the matrix for Galilean transformation and lorentz transformation.

Given

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