Double ionization of hydrogen molecule by fast electron impact: calculation using exact wave functions of two-center continuum

The differential cross-section of the double ionization of the hydrogen molecule by a fast-electron impact is calculated using the expansion of the solution in terms of spheroidal functions. The calculation of the cross-section is reduced to the calculation of a set of one-dimensional integrals of the spheroidal functions which is a substantial advantage of the method. Calculations based on different approximate models of electron-electron correlation are compared with each other and with the experiment.