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The antisymmetric bracket on classical observables that generates Hamiltonian evolution and satisfies the Jacobi and Leibniz identities.
wp-physics-poisson_bracketnlab-physics-poisson_bracketcambridge-classical-dynamicsEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
A symplectic or Poisson phase space supplies a Poisson bracket on observables.
Apply a standard functorial or canonical construction whose output is not merely a reduct of the input and is not generally an equivalent presentation of the same object.
wp-physics-phase_spacenlab-physics-phase_spacecambridge-classical-dynamicswp-physics-poisson_bracketnlab-physics-poisson_bracketEach relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Hamiltonian time evolution is generated by the Poisson bracket with the Hamiltonian.
The source supplies a substantive formal ingredient, dynamical sector, law, field content, or mechanism of the target theoretical framework.
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