Photon Bremsstrahlung from an Extreme-Relativistic Electron Gas

The photon bremsstrahlung spectrum from an extreme-relativistic electron gas is obtained. This gives for the total energy radiated per unit space-time volume Wₑₑ(τ)=24 n² mc³ r₀^_²ατ [ln2τ-C+5/4] where τ≡kTmc²1, and C is Euler's constant. The leading term is exactly twice that obtained when considering electron-ion bremsstrahlung and is seen to represent the fact that in electron-electron bremsstrahlung, as contrasted with electron-ion bremsstrahlung, both particles radiate.