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A continuum emission is an emission of electromagnetic radiation producing a range of wavelengths rather than a spectral line, i.e., a continuous spectrum: at any wavelength over the range, the specific intensity is very close to nearby wavelengths. Black-body radiation is a ubiquitous mechanism. Others:
Two-photon emission is relaxation of atomic excitation producing two photons instead of one. It occurs when quantum-mechanical rules forbid the normal single-photon emission and there are not frequent collisions inducing relaxation, specifically in low-density ionized gas.