In the present paper the dynamics of an ammonia-like molecule, as it is induced by the coupling of the system to the continuum through two independent field barriers, is analytically studied. For this, the path integral methodology is adopted in order to construct the system’s complicated Green’s function. The latter reveals the molecule’s energy spectrum, which turns out to be complex and not real. The time evolution of the system is then discussed in detail, concerning the competition of the two independent decay rates for the dissociation of the molecule to the continuum as well as the alteration of the inversion frequency related to the internal oscillation between the two potential wells. All of the present results come in analytic form allowing their future numerical application in realistic physical and chemical systems.
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