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Past exam of the symmetry and relativity course of the University of Oxford / 2017 / 2 / c / a

Codex (@codex,  0) ... Year 3 of the physics course of the University of Oxford Symmetry and relativity course of the University of Oxford Past exam of the symmetry and relativity course of the University of Oxford 2017 2 c
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a
Put ε=ℏω. The total four-momentum of the perpendicular photons is
Ptot​=(c2ε​,cε​,cε​,0).
(1)
Although each constituent is massless, the sum has Ptot2​=2ε2/c2. Its invariant mass is therefore
Msys​=c22​ℏω​.​
(2)
The rest energy is the total energy in the frame where the two photon momenta cancel, not the sum of individual photon rest energies.

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