“…The LSC-IVR/classical Wigner model cannot describe true quantum coherence effects in time correlation functions-more accurate SC-IVR approaches, such as the Fourier transform forward-backward IVR (FB-IVR) approach 22,57 (or the still more accurate generalized FB-IVR 58 ) of Miller et al, are needed for this-but it does describe some aspects of the quantum dynamics very well 26,[30][31][32]34,[59][60][61][62] . E.g., the LSC-IVR has been shown to describe reactive flux auto-correlation functions (which determine chemical reaction rates) quite well, including strong tunneling regimes 31 , and velocity auto-correlation functions 26,32,60 and force auto-correlation functions 26,34,61,62 in systems with enough degrees of freedom for quantum re-phasing to be unimportant.…”