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- W2171526355 abstract "For discrete classical Molecular dynamics obtained by the “Verlet” algorithm (VA) with the time increment h there exists a shadow Hamiltonian documentclass[12pt]{minimal}begin{document}$tilde{H}$end{document}H̃ with energy documentclass[12pt]{minimal}begin{document}$tilde{E}(h)$end{document}Ẽ(h), for which the discrete particle positions lie on the analytic trajectories for documentclass[12pt]{minimal}begin{document}$tilde{H}$end{document}H̃. Here, we proof that there, independent of such an analytic analogy, exists an exact hidden energy invariance E* for VA dynamics. The fact that the discrete VA dynamics has the same invariances as Newtonian dynamics raises the question, which of the formulations that are correct, or alternatively, the most appropriate formulation of classical dynamics. In this context the relation between the discrete VA dynamics and the (general) discrete dynamics investigated by Lee [Phys. Lett. B 122, 217 (1983)] is presented and discussed." @default.
- W2171526355 created "2016-06-24" @default.
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- W2171526355 date "2014-01-23" @default.
- W2171526355 modified "2023-10-02" @default.
- W2171526355 title "Discrete dynamics versus analytic dynamics" @default.
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- W2171526355 doi "https://doi.org/10.1063/1.4862173" @default.
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