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The forward-backward semiclassical dynamics methodology ͓J. Phys. Chem. 103, 7753, 9479 ͑1999͔͒ is reformulated in the interaction representation. The new version of the method allows for a fully quantum mechanical description of a low-dimensional subsystem of interest, along with a semiclassical forward-backward treatment of the solvent coordinates and their coupling to the reference subsystem. Application to the long-time tunneling dynamics in a symmetric double-well system coupled to adoi:10.1063/1.1287823 fatcat:gm57bdx4trhw3gn6aphsbtvx3a