THE EQUIVALENCE OF EXPLICITLY CORRELATED SLATER AND GAUSSIAN FUNCTIONS IN VARIATIONAL QUANTUM-CHEMISTRY COMPUTATIONS - THE GROUND-STATE OF H-2

It is demonstrated that variational calculations based on explicitly c orrelated Gaussian functions for the hydrogen molecule in its ground s tate lead to energies of the same level of accuracy as those based on the Kolos-Wolniewicz functions. The energies obtained are the lowest r eported so far, in contrast to the well-known bad asymptotic propertie s of Gaussian functions.