Quantum statistical calculations and symplectic corrector algorithms
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The fundamental result on the correctability of forward time step propagators was proved. The four forward correctable second-order propagators and their minimal correctors were derived for knowing the correctability requirements. It was found that while a conventional higher-order propagator requires its error terms to vanish, a correctable propagator only requires its error terms to satisfy the correctability conditions. It was also observed that second-order forward propagators can have fourth-order traces only with the inclusion of additional commutator.
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
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