Abstract

${\text{H}}_2^{+}$, due to its integrability for fixed nuclei serves as an exact model of molecular orbital theory [1]. In the presence of an intense laser pulse, the molecule-field system becomes nonintegrable and no exact solution of the time dependent problem is known. We have recently developed a new numerical method for solving the time-dependent Schroedinger equation(TDSE) for ${\text{H}}_3^{++}$ in the presence of an intense subpicosecond laser pulse [2], allowing us thus to calculate the competition between ionization, dissociation and the production of high order harmonics. We shall compare the present results in the series H, ${\text{H}}_2^{+}$, He⁺, and H⁺⁺ in order to elucidate the properties of single electrons in multiple nuclear and laser fields.

© 1993 Optical Society of America