All Problems Thermal Radiation. Quantum Nature of Light.
Problem 5.281
Using the conservation laws, demonstrate that a free electron cannot absorb a photon completely.
5.281. Let us write the energy and momentum conservation laws in the reference frame fixed to the electron for the moment preceding the collision with the photon: \(\hbar \omega+m_{0} c^{2}=m c^{2}, \hbar \omega / c=m v,\) where \(m=m_{0} V \overline{1-(v / c)^{2}} .\) From this it follows that \(v=0\) or \(v=c\) The results have no physical meaning.