Exact double-continuum solution of a correlated atomic model

Abstract

The dynamics of double ionization is of considerable interest as being a striking manifestation of the electron correlation. This is an essentially nonseparable problem for which it is highly desirable to have an analytically soluble model for reference. In this paper, the correlated double-continuum solution of a two-particle atomic model is obtained in closed form. Although particles are one-dimensional and potentials are of -type, this model provides for double photoionization of helium, energy distributions of ejected electrons and total cross sections in qualitative agreement with those of more realistic calculations.