Abstract
The dynamics of isotopically selective interactions between the radjation of threepulsed lasers and atoms with a four-levels scheme has been studied.Starting fromthe time-dependent Schrodinger equation with the rotating-wave approximation,weapplied Sylvester theorem to the dynamic equations associated with near-and off-resonant excitations,respectively.We obtained the explicit expressions for the four- levels occupation probabilities.The analytic treatment explored the properties ofcoherent oscillations occurred in the atomic excitation.processes with intense mono- chromatic lasers. The conditions under which the population inversion takes place arede rived from near-resonant excitations.The criteria to select the basio parameters ofpulsed lasers involved in the process are also provided.
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