CONTROL OF TIME-DEPENDENT NONADIABATIC PROCESSES BY AN OSCILLATORY EXTERNAL FIELD Yoshiaki Teranishi $^{a}$ and Hiroki Nakamura$^{a,b}$ $^a$ The Graduate University for Advanced Studies, Okazaki 444, Japan $^b$ Institute for Molecular Science, Okazaki 444, Japan A new idea of controlling nonadiabatic transitions by an external field is proposed. The basic principle is to periodically sweep an external field at each level crossing to make the overall transition probability from an initial state to any desirable final state equal to unity. The recently completed semiclassical theory of nonadiabatic transition enable us to analytically deal with this problem. The present idea may be applicable to various physical and chemical problems, whenever level crossings are created by an external field.