Gage-equivalent forms of the Schroedinger equation for a hydrogenlike atom in a time-dependent electric field

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Several gage-equivalent forms (including some novel ones) of the Schroedinger equation for a hydrogenlike atom in a time-dependent electric field of a laser pulse are presented. These forms allow to develop a perturbation theory for both small and rather large intensities of the electromagnetic field.
10 pages, submitted to Fundamental and Applied Mathematics

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