Nonadiabatic transition Rosen-Zener-Demkov-type

Nonadiabatic transitions play crucial roles in various fields of physics and chemistry [1. 2. 3. 4. 5, 7, 8 9. 10], and it is quite important to develop basic analytical theories so that we can understand fundamental mechanisms of various dynamics. The most fundamental models among them are the Landau-Zener type curve crossing and the Rosen-Zener-Demkov type non-curve-crossing. Furthermore, there is an interesting intermediate case in which two diabatie exponential potentials arc... 

There is also a noncrossing nonadiabatic transition called the Rosen-Zener-Demkov type (1,2). Figure 5 shows the corresponding potential diagram, in which the two adiabatic potentials are in near resonance at large R. The nonadiabatic transition is not as effective as the crossing case, but this still presents an important mechanism in atomic and molecular processes. 

Figure 5 Schematic potential diagram of the Rosen-Zener-Demkov type of nonadiabatic transition.

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