Summary
The response to an ionizing radiation field of a simple one-electron atomic system modelled by an attractive Fermi-type pseudopotential is investigated under the assumption that the source intensity is sufficiently low for a perturbation theory treatment at appropriate order to be adequate in dealing with the radiation field-matter interaction. One- and two-photon ionization cross-sections are evaluated either in the length or in the velocity forms by using an approach recently put forward by the authors, which stresses the nature of such quantities as Fourier transforms of relevant time-dependent correlation functions. Some remarks concerning the merits of different gauges in approximate two-photon ionization cross-section calculations conclude the paper.
Riassunto
Un approccio recentemente suggerito dagli autori, che sottolinea la struttura formale delle sezioni efficaci di ionizzazione multifotoniche quali trasformate di Fourier di appropriate funzioni di correlazione dipendenti dal tempo, è applicato in dettaglio al caso di processi indotti in un semplice atomo modello monoelettronico, assumendo un potenziale effettivo attrattivo tra elettrone ottico e gusci interni del tipo pseudopotenziale di Fermi. Sezioni efficaci di ionizzazione per assorbimento di uno o due fotoni, nelle condizioni di validità di un regime perturbativo, sono calcolate nelle forme standard «lunghezza» e «velocità», in modo da porre in evidenza l’indipendenza dal gauge scelto dei risultati ottenuti. Il ruolo del gauge in calcoli di tipo approssimato è brevemente esaminato alla luce dei risultati forniti da modello studiato.
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References
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Arrighini, G.P., Guidotti, C. & Durante, N. One- and two-photon ionization of model atoms. Il Nuovo Cimento D 7, 559–579 (1986). https://doi.org/10.1007/BF02450496
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DOI: https://doi.org/10.1007/BF02450496