Line shape and intensity considerations in microwave optical magnetic resonance induced by electrons and related experiments

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Abstract
A density matrix approach to the phenomena of molecular level crossing, level anticrossing, and double resonance experiments is formulated. A general equation for the time evolution of the density matrix has been obtained, which can be used to described the above behavior in a multilevel system. The equations appropriate to a MOMRIE (Microwave Optical Magnetic Resonance Induced by Electrons) experiment are solved explicitly in the two-level approximation. The applicability of this approximation to the MOMRIE experiments on the H2 molecule is quantitatively examined, analytically and by computer simulation. Predictions of the theory are compared with observed lineshapes, relative and absolute intensities, and linewidths obtained from MOMRIE experiments.