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While reading the derivation of the formula [itex] \lambda' - \lambda = \frac{h}{ m_ec}(1-cos(\theta)) [/itex] on Wikipedia, they point out that the momentum gained by the electron is larger than the momentum lost by the photon:

$$ p_e=\frac{\sqrt{h^2(\nu-\nu')^2 +2h(\nu-\nu')m_ec^2}}{c} > \frac{h(\nu-\nu')}{c} = p_{\gamma}-p_{\gamma'} $$

How is this not a violation of conservation of momentum?

$$ p_e=\frac{\sqrt{h^2(\nu-\nu')^2 +2h(\nu-\nu')m_ec^2}}{c} > \frac{h(\nu-\nu')}{c} = p_{\gamma}-p_{\gamma'} $$

How is this not a violation of conservation of momentum?

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