- #1

RyanP

- 17

- 0

## 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' + Eβ

^{2}) = γE' (1+β

^{2}).

Which then would imply that = γ'(1+β

^{2}). But I have in my notes that the observed frequency = γ' (1-β). Where did I go wrong?