Abstract
A new approach to solution of the time-dependent Schrodinger equation for a quantum system affected by a strong electromagnetic laser field modulated in amplitude and frequency is proposed. This approach is based on application of the Floquet method and approximation of the Hamiltonian parameters slowly varying with time by step functions within the (t, t′) formalism. A relationship between the method developed and representation of the evolution operator in the form of the T-ordered product of operators acting at short time intervals is demonstrated. The method proposed is used to describe the response of a LiH molecule to the action of a radiation pulse and calculate the populations of the electronic states of the molecule under the pulse action. The evolution of the populations and dynamic susceptibility of the molecule and its relationship with the probabilities of Landau-Zener transitions between the electronic quasienergy states of the molecule have been analyzed.
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