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We simulate the time-dependent Schr(o)dinger equation and observe the rescattering dissociation of H2 in strong infrared laser fields.Two dissociation pathways are identified, i.e.,the dissociation of H2+ in the 2p(o)u state and the dissociation of H2 in double excited states.To the best of our knowledge, this is the first numerical demonstration of rescattering dissociation beyond Born-Oppenheimer approximation.