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The semiclassical initial value representation ͑SC-IVR͒, which has recently seen a great deal of interest for treating nuclear dynamics on a single potential energy surface, is generalized to be able to describe electronically nonadiabatic ͑i.e., multisurface͒ processes. The essential idea is a quantization of the classical electron-nuclear Hamiltonian of Meyer and Miller ͓J. Chem. Phys. 70, 3214 ͑1979͔͒ within the SC-IVR methodology. Application of the approach to a series of test problemsdoi:10.1063/1.473624 fatcat:dgsswj2flrhfrhn5yawtddqfj4