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In this report, a novel methodology based on the static coherent statesapproach is introduced with the capability of calculating various strong-fieldlaser-induced nonlinearities in full dimensional single-electron molecularsystems; an emphasis is made on the high-order harmonic generation. To evaluatethe functionality of this approach, we present a case study of the Hydrogenmolecular ion \ih interacting with a few-cycle linearly polarized optical laserwith trapezoidal waveform. We detected that the accuracy of the obtainedharmonics is considerably enhanced by averaging the expectation value of theacceleration of the single electron over a set of identical random simulations.Subsequently, the presented approach demands a significantly lower number ofbasis sets than the regular exact three dimensional unitary split-operatorsolvers of time dependent Schr{\"o}dinger equation that necessitate anextremely large number of data points in the coordinate space, and so thecomputational cost. Additionally, applying static coherent states method, wehave investigated isolated attosecond pulse generation using the polarizationgating technique, which combines two delayed counter rotating circular laserpulses, and opens up a gate at the central portion of the superposed pulse.

Static coherent states method for investigating high-order harmonic generation in single-electron molecular systems