Paper 1.8: "Molecular Beam Resonances in Oscillatory Fields of Nonuniform Amplitudes and Phases," N. F. Ramsey, Phys. Rev. 109, 822–825 (1958)

This paper extends Paper 1.2 to give general formulae and calculation procedures for determining the transition probabilities for a system with three different and possibly varying energy levels subject to several oscillatory fields of nonuniform amplitudes and phases. Because of the generality of the formulation, specific calculations have to be carried out with a computer. As examples, results are plotted for increasing numbers of oscillatory pulses and for different shapes of oscillatory fields.