THE (T, T') METHOD AND GAUGE TRANSFORMATIONS FOR 2 ELECTRONIC POTENTIAL SURFACES - AN APPLICATION TO THE PARTIAL WIDTH OF H-2(+)

Using the (t, t') method the time-dependent Schrodinger equation for t wo electronic potential surfaces which are coupled via a time-dependen t (not necessarily time-periodic) field is transformed from the length to momentum, reduced momentum and acceleration gauge representations. Combining the (t, t') method and complex scaling enables the calculat ion of partial widths by the asymptotic analysis of the tail of the re sonance wavefunction obtained in the length gauge after being transfor med to the acceleration gauge such that a free particle is obtained as R (the reaction coordinate) --> infinity regardless of the shape of t he laser pulse. As an illustrative numerical example the partial width s of H-2(+) in high periodic fields are calculated.