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A unitary model describing the electronic transitions in an atom subject to astrong high frequency laser pulse is proposed. The model fully accounts for theinitial state coupling with the continuum spectrum. Continuum-continuum as wellas discrete-discrete transitions are neglected. The model leads to a singleintegro-differential equation for the initial state amplitude. Exact numericaland approximate closed semi-analytical solutions of this equation are obtained.A comparison of present results with full time dependent Schr\"odinger equationsolution for Hydrogen atoms subject to a laser pulse is presented. The initialstate time dependent population is rather well described by the model and twoapproximate solutions. The electron energy spectrum is also well reproduced bythe model and by a new improved Weiskopf-Wigner related approximation.

Unitary model for atomic ionization by intense XUV laser pulses