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

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.