- #1
RyanP
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Homework Statement
Show how one can obtain the Doppler transformation for the frequency of a receding
source just using the Lorentz transformations for the energy (where E=h).
Homework Equations
Relativistic transformations for momentum and energy:
E = γ(E' + vp'x)
pc/E = v/c = β
The Attempt at a Solution
E = γ(E' + vp'x)
since p = Eβ/c, E = γ(E' + Eβ2) = γE' (1+β2).
Which then would imply that = γ'(1+β2). But I have in my notes that the observed frequency = γ' (1-β). Where did I go wrong?