Extension of the Method of Complex Basis Functions to Molecular Resonances

Abstract

We consider the extension of the complex-coordinate technique to the problem of locating molecular resonances. We suggest a method which uses complex normalizable functions and which becomes equivalent to the usual dilatation transformation asymptotically, but is different for small values of the electronic coordinates. The technique is illustrated by application to the bound states of ${\mathrm{H}}_{2}^{+}$ and to a model nonspherical resonance problem.