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We develop and implement an exact conical intersection nonadiabatic wavepacket dynamics method that combines the local diabatic representation, Strangsplitting for the total molecular propagator, and discrete variablerepresentation with uniform grids. By employing the local diabaticrepresentation, this method captures all non-adiabatic effects, includingnonadiabatic transitions, electronic coherences, and geometric phases.Moreover, it is free of singularities in the first and second derivativecouplings, and does not require a smooth gauge of electronic wavefunctionphase. We further show that in contrast to the adiabatic representation, thesplit-operator method can be directly applied to the full molecular propagatorwith the locally diabatic ansatz. The Fourier series, employed as the primitivenuclear basis functions, is universal and can be applied to all types ofreactive coordinates. The combination of local diabatic representation, Strangsplitting, and Fourier basis allows exact modeling of conical intersectionquantum dynamics directly with adiabatic electronic states that can be obtainedfrom standard electronic structure computations.

Nonadiabatic conical intersection dynamics in the local diabatic representation with Strang splitting and Fourier basis