Photodissociation dynamics time-dependent approach

The main characteristics of indirect dissociation are resonances in the time-independent picture and recurrences in the time-dependent approach. Resonances and recurrences are the two sides of one coin they reveal the same dynamical information but provide different explanations and points of view. To begin this chapter we discuss in Section 7.1, on a qualitative level, indirect photodissociation of a one-dimensional system. A more quantitative analysis follows in Section 7.2. The time-dependent and the time-independent views of indirect photodissociation are outlined and illustrated in Sections 7.3 and 7.4, respectively, with emphasis on vibrational excitation of the NO moiety in the photodissociation of CH30N0(S i). Section 7.5 accentuates the relation between... 

Which approach offers the better interpretation of the photodissociation dynamics in general and of the dissociation cross sections in particular The answer to this question depends very much on the particular system and cannot be decided in a unique way. There are cases which are better described by the time-independent picture while other systems may be better understood within the time-dependent view. In the course of this monograph we will always attempt to combine both views in order to reveal all facets of a particular system. 

For additional studies of the ultrafast photodissociation of small alkali clusters, the support of detailed qualitative and quantitative predictions of the stability and photoinduced fragmentation of these many-particle systems is essential. Knowing that even for the three-body system Nas, state-of-the-art time-dependent quantum dynamical simulations are extremely costly, requiring considerable computer time, the application of other concepts is necessary. In the near future, the density matrix formalism might be an appropriate approach here. 

Balint-Kurti, G. G. (2008). Time-dependent and time-independent wavepacket approaches to reactive scattering and photodissociation dynamics. International Reviews in Physical... 

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