One-dimensional "atom" with zero-range potential perturbed by finite sequence of zero-duration laser pulses

The exactly soluble model of a train of zero-duration electromagnetic pulses interacting with a 1D atom with short-range interaction potential modelled by a δ-function is considered. The model is related to the up-To-date laser techniques providing the duration of pulses as short as a few attoseconds and the intensities higher than 10¹⁴ W/cm².