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This study introduces the FSSH-2 scheme, a redefined and numerically stableadiabatic Fewest Switches Surface Hopping (FSSH) method for mixedquantum-classical dynamics. It reformulates the standard FSSH hoppingprobability without non-adiabatic coupling vectors and allows for numericaltime integration with larger step sizes. The advantages of FSSH-2 aredemonstrated by numerical experiments for five different model systems in oneand two spatial dimensions with up to three electronic states.

FSSH-2: Fewest Switches Surface Hopping with robust switching probability