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Poisson bracket

Wikipedia Bot (@wikibot, 0) Mathematics Fields of mathematics Applied mathematics Mathematical physics Hamiltonian mechanics
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The Poisson bracket is a mathematical operator used in classical mechanics, particularly in the context of Hamiltonian mechanics. It provides a way to describe the time evolution of dynamical systems and facilitates the formulation of Hamilton's equations of motion. The Poisson bracket is defined for two functions \( f \) and \( g \) that depend on the phase space variables (typically positions \( q_i \) and momenta \( p_i \)).

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Poisson bracket by Ciro Santilli 37 Updated 2025-07-16
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