Abstract
With the help of the solution of the time-dependent Schr\"odinger equation in momentum space, we study the above-threshold ionization spectrum resulting from the interaction of atomic hydrogen with an infrared and XUV short laser pulses. Our calculations are based on a model where the kernel of the nonlocal Coulomb potential is replaced by a finite sum of $N$ symmetric separable potentials, each of them supporting one bound state of atomic hydrogen. Here, we consider only the case of $1s$, $2s$, and $2p$ states. Thus, the theory fully accounting for the important $1s--2p$ transition, explains the photoelectron spectrum as well as the total ionization probability for the resonant case. We compared the results given by our theory with the numerical solutions of the time-dependent Schr\"odinger equation.
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