Auger decay/electrons operator

As previously discussed, according to the Fermi golden rule, the intensity of processes like photoemission and Auger decay is expressed by a transition matrix element between initial and final states of the dipole and, respectively, the Coulomb operator. In both cases the final state belongs to the electronic continuum and we already observed that an representation lacks a number of relevant properties of a continuum wavefunction. Nevertheless, it was also observed that the transition moment, due to the presence of the initial bound wavefunction, implies an integration essentially over the molecular space and then even an l representation of the final state may provide information on the transition process. We consider now a numerical technique that allows us to compute the intensity for a transition to the electronic continuum from the results of I calculations that have the advantage, in comparison with the simple atomic one-center model, to supply a correct multicenter description of the continuum orbital. 

Couplings for Auger electron emission In this case one has to consider the decay of the intermediate photoionized state (J,) to the final ionic state J( by emission of the Auger electron (j2) taking care also of the Coulomb matrix elements (operator Op2) ... 

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