Electron-Electron Bremsstrahlung from a Quantum Plasma (Z=1)

The nonrelativistic limit of the Born cross section for electron-electron bremsstrahlung is integrated over a Maxwell-Boltzmann electron distribution. Results for the spectrum are compared with the electron-ion ($Z=1\mathrm{}$) bremsstrahlung spectrum found in the literature. The long-wavelength limit is obtained and compared with recent classical calculations. Corrections to the spectrum for low temperatures and high frequencies are discussed. It is concluded that at electron temperatures $k{T}_e\ge 10$ keV, electron-electron bremsstrahlung should be included in calculations of the emission spectrum, especially in the short-wavelength region.