Abstract
The time-dependent Schr\"odinger equation for $\mathrm{H}_{2}{}^{+}$ in a time-varying electromagnetic field is solved in the fixed-nuclei approximation using a previously developed finite-element discrete-variable representation in prolate spheroidal coordinates. Amplitudes for single- and two-photon ionization are obtained using the method of exterior complex scaling to effectively propagate the field-free solutions from the end of the radiation pulse to infinite times. Cross sections are presented for one- and two-photon ionization for both parallel and perpendicular polarizations of the photon field, as well as photoelectron angular distributions for two-photon ionization.
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