Mathematics, 16.04.2020 02:30 krojas015
Consider the galilean transformation along the x-direction: x′=x−vt and t′=t. in frame s the wave equation for electromagnetic waves in a vacuum is ∂2e(x, t)∂x2−1c2∂2e(x, t)∂t2=0 where e represents the electric field in the wave. using the galilean transformation find the wave equation in frame s′. this has a different form than the wave equation in s. hence the galilean transformation violates the first relativity postulate that all physical laws have the same form in all inertial reference frames. (hint: express the derivatives ∂/∂x and ∂/∂t in terms of ∂/∂x′ and ∂/∂t′ by use of the chain rule.)
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Consider the galilean transformation along the x-direction: x′=x−vt and t′=t. in frame s the wave eq...
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