Introduction to Electrodynamics · Problem 12.18

Electrodynamics and Relativity — David J. Griffiths

Physics · lorentz-transformation-matrix

Problem

(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

\bar{v}

along the

y

axis. Does it matter in what order the transformations are carried out?