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- Poisson_bracket abstract "In mathematics and classical mechanics, the Poisson bracket is an important binary operation in Hamiltonian mechanics, playing a central role in Hamilton's equations of motion, which govern the time-evolution of a Hamiltonian dynamical system. The Poisson bracket also distinguishes a certain class of coordinate-transformations, called canonical transformations, which maps canonical coordinate systems into canonical coordinate systems. (A "canonical coordinate system" consists of canonical position and momentum variables (here symbolized by qi and pi respectively) that satisfy canonical Poisson-bracket relations.) The set of possible canonical transformations is always very rich. For instance, often it is possible to choose the Hamiltonian itself H = H(q, p; t) as one of the new canonical momentum coordinates.In a more general sense: the Poisson bracket is used to define a Poisson algebra, of which the algebra of functions on a Poisson manifold is a special case. These are all named in honour of Siméon Denis Poisson.".
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- Poisson_bracket wikiPageRevisionID "667232866".
- Poisson_bracket wikiPageWikiLink Abstract_algebra.
- Poisson_bracket wikiPageWikiLink Algebra_over_a_field.
- Poisson_bracket wikiPageWikiLink Algebraic_ideal.
- Poisson_bracket wikiPageWikiLink Anticommutativity.
- Poisson_bracket wikiPageWikiLink Bilinear_map.
- Poisson_bracket wikiPageWikiLink Canonical_coordinates.
- Poisson_bracket wikiPageWikiLink Canonical_transformation.
- Poisson_bracket wikiPageWikiLink Canonical_transformations.
- Poisson_bracket wikiPageWikiLink Cartans_identity.
- Poisson_bracket wikiPageWikiLink Category:Bilinear_operators.
- Poisson_bracket wikiPageWikiLink Category:Binary_operations.
- Poisson_bracket wikiPageWikiLink Category:Concepts_in_physics.
- Poisson_bracket wikiPageWikiLink Category:Hamiltonian_mechanics.
- Poisson_bracket wikiPageWikiLink Category:Symplectic_geometry.
- Poisson_bracket wikiPageWikiLink Chain_rule.
- Poisson_bracket wikiPageWikiLink Classical_mechanics.
- Poisson_bracket wikiPageWikiLink Closed_and_exact_differential_forms.
- Poisson_bracket wikiPageWikiLink Commutator.
- Poisson_bracket wikiPageWikiLink Completely_integrable.
- Poisson_bracket wikiPageWikiLink Configuration_space.
- Poisson_bracket wikiPageWikiLink Conjugate_momentum.
- Poisson_bracket wikiPageWikiLink Constant_of_motion.
- Poisson_bracket wikiPageWikiLink Constants_of_motion.
- Poisson_bracket wikiPageWikiLink Course_of_Theoretical_Physics.
- Poisson_bracket wikiPageWikiLink Darboux_coordinates.
- Poisson_bracket wikiPageWikiLink Darbouxs_theorem.
- Poisson_bracket wikiPageWikiLink Deformation_theory.
- Poisson_bracket wikiPageWikiLink Derivation_(abstract_algebra).
- Poisson_bracket wikiPageWikiLink Derivation_(differential_algebra).
- Poisson_bracket wikiPageWikiLink Differentiable.
- Poisson_bracket wikiPageWikiLink Differentiable_function.
- Poisson_bracket wikiPageWikiLink Differential_form.
- Poisson_bracket wikiPageWikiLink Dirac_bracket.
- Poisson_bracket wikiPageWikiLink Distribution_(differential_geometry).
- Poisson_bracket wikiPageWikiLink Distribution_function.
- Poisson_bracket wikiPageWikiLink Distributive_property.
- Poisson_bracket wikiPageWikiLink Distributivity.
- Poisson_bracket wikiPageWikiLink Dynamical_system.
- Poisson_bracket wikiPageWikiLink Eric_W._Weisstein.
- Poisson_bracket wikiPageWikiLink Exterior_derivative.
- Poisson_bracket wikiPageWikiLink Flow_(mathematics).
- Poisson_bracket wikiPageWikiLink Function_(mathematics).
- Poisson_bracket wikiPageWikiLink Group_contraction.
- Poisson_bracket wikiPageWikiLink Hamiltonian_mechanics.
- Poisson_bracket wikiPageWikiLink Hamiltonian_vector_field.
- Poisson_bracket wikiPageWikiLink Hamiltons_equations.
- Poisson_bracket wikiPageWikiLink Hamiltons_equations_of_motion.
- Poisson_bracket wikiPageWikiLink Hilbert_space.
- Poisson_bracket wikiPageWikiLink Ideal_(ring_theory).
- Poisson_bracket wikiPageWikiLink Integrable_dynamical_system.
- Poisson_bracket wikiPageWikiLink Integrable_system.
- Poisson_bracket wikiPageWikiLink Interior_product.
- Poisson_bracket wikiPageWikiLink Jacobi_identity.
- Poisson_bracket wikiPageWikiLink Kronecker_delta.
- Poisson_bracket wikiPageWikiLink Lagrange_bracket.
- Poisson_bracket wikiPageWikiLink Lie_algebra.
- Poisson_bracket wikiPageWikiLink Lie_bracket_of_vector_fields.
- Poisson_bracket wikiPageWikiLink Lie_derivative.
- Poisson_bracket wikiPageWikiLink Lie_group.
- Poisson_bracket wikiPageWikiLink Liouvilles_theorem_(Hamiltonian).
- Poisson_bracket wikiPageWikiLink Manifold.
- Poisson_bracket wikiPageWikiLink Mathematics.
- Poisson_bracket wikiPageWikiLink Measure_(mathematics).
- Poisson_bracket wikiPageWikiLink Moyal_bracket.
- Poisson_bracket wikiPageWikiLink Peierls_bracket.
- Poisson_bracket wikiPageWikiLink Phase_space.
- Poisson_bracket wikiPageWikiLink Poisson_algebra.
- Poisson_bracket wikiPageWikiLink Poisson_manifold.
- Poisson_bracket wikiPageWikiLink Poisson_superalgebra.
- Poisson_bracket wikiPageWikiLink Poisson_superbracket.
- Poisson_bracket wikiPageWikiLink Product_rule.
- Poisson_bracket wikiPageWikiLink Siméon_Denis_Poisson.
- Poisson_bracket wikiPageWikiLink Subalgebra.
- Poisson_bracket wikiPageWikiLink Symplectic_form.
- Poisson_bracket wikiPageWikiLink Symplectic_manifold.
- Poisson_bracket wikiPageWikiLink Symplectic_vector_field.
- Poisson_bracket wikiPageWikiLink Symplectic_vector_space.
- Poisson_bracket wikiPageWikiLink Symplectomorphism.
- Poisson_bracket wikiPageWikiLink Tensor_contraction.
- Poisson_bracket wikiPageWikiLink Trajectory.
- Poisson_bracket wikiPageWikiLink Vector_field.
- Poisson_bracket wikiPageWikiLink Victor_Pavlovich_Maslov.
- Poisson_bracket wikiPageWikiLink Weyl_quantization.
- Poisson_bracket wikiPageWikiLink Wigner–Weyl_transform.
- Poisson_bracket wikiPageWikiLinkText "Hamiltonian equations of motion".
- Poisson_bracket wikiPageWikiLinkText "Poisson bracket".
- Poisson_bracket author Eric_W._Weisstein.
- Poisson_bracket hasPhotoCollection Poisson_bracket.
- Poisson_bracket id "p/p073270".
- Poisson_bracket title "Poisson bracket".
- Poisson_bracket title "Poisson brackets".
- Poisson_bracket urlname "PoissonBracket".
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