Abstract
We introduce the exterior complex scaling transformed $B$-spline basis sets into the Floquet theory to study the ionization dynamics of symmetric and asymmetric linear molecular ion $\mathrm{H}_{3}{}^{2+}$ in dc and intense low-frequency laser fields. For several lowest electronic states, the double-peak structure of the ionization rate as a function of the internuclear distance is observed. We explore the insights of the charge-resonance-enhanced multiphoton ionization of the symmetric and asymmetric $\mathrm{H}_{3}{}^{2+}$ at some critical internuclear distances ${R}_{c}$ by the Floquet theory. A detailed analysis of the behavior of the quasienergy states corresponding to the lowest three electronic states is presented. For the purpose of comparison, the total ionization rate is also calculated by numerically solving the full-dimensional time-dependent Schr\"odinger equation. Very good agreement is achieved between the results obtained by these two different methods.
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