Oscillatory excimer emission: An analytic model

An analytic quantum mechanical model is given for the line shape of the continuum emission from a model harmonic oscillator excimer state to a flat lower state. The model permits a qualitative characterization of the excimer emission profile for more realistic potentials and provides an estimate of bounds on excimer gain cross sections. The model is best on the red wavelength side of the spectrum, and it gives a good account of the McLennan bands of I2. The Appendix discusses semiclassical approximations to the spectrum in a unified way. The stationary phase approximation is shown to lead to an expression very similar to the exact quantum result, and a new nondivergent approximation is derived for the red limit of the spectrum.