Abstract

A study of multiphoton excitation in Γ-type three level system with generally non-degenerate excited states is presented. Such systems are formed by the three lowest states in, e.g., hydrogen atom or evenly charged homonuclear diatomic molecular ions under moderate laser intensities. A unitary transformation is introduced for such system and the transformed Hamiltonian is simplified using Fourier–Bessel expansion. Specifically we considered the case of one dimensional model of evenly charged homonuclear diatomic molecular ion A24+ (A=nitrogen, oxygen or iodine). The obtained results indicate that such approximation is in a good agreement with exact numerical results.

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