 In 1958 he went the University of Chicago, at a time when powerful computers were first becoming available for scientific work.He developed a new computer program to solve the Schrödinger equation for the hydrogen molecule to unprecedented accuracy.In the early 1960s, Kołos and Wolniewicz published a number of pioneering papers on the potential energy curves of the hydrogen molecule, including several corrections to the Born–Oppenheimer approximation, including adiabatic, non-adiabatic, and relativistic terms.