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ABSTRACT:The time-dependent Schrodinger equation for the 1-D H q moleculë 2 Ž . with both nuclear and electronic degrees of freedom included was solved numerically. A wave᎐function splitting technique was used, which allows one to circumvent the problem of lost information due to commonly used absorbing boundaries of the electron Ž . flux. This technique allows us to calculate the above-threshold ionization ATI photoelectron kinetic energy spectra in the presence of moving nuclei, as well as complete spectra of dissociating protons, beyond the Born᎐Oppenheimer approximation. A considerable enhancement of the ATI spectra, with respect to the spectra generated by a H atom, were found. The peaks seen in calculated Coulomb explosion spectra of protons agree well with the predictions of recent theoretical work related to the Ž . phenomenon of charge-resonance-enhanced ionization CREI .

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