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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 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.".
- Poisson_bracket wikiPageID "294340".
- Poisson_bracket wikiPageRevisionID "605318251".
- 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".
- Poisson_bracket subject Category:Bilinear_operators.
- Poisson_bracket subject Category:Binary_operations.
- Poisson_bracket subject Category:Concepts_in_physics.
- Poisson_bracket subject Category:Hamiltonian_mechanics.
- Poisson_bracket subject Category:Symplectic_geometry.
- Poisson_bracket type Abstraction100002137.
- Poisson_bracket type BilinearOperators.
- Poisson_bracket type Cognition100023271.
- Poisson_bracket type Concept105835747.
- Poisson_bracket type Content105809192.
- Poisson_bracket type Function113783816.
- Poisson_bracket type FundamentalPhysicsConcepts.
- Poisson_bracket type Idea105833840.
- Poisson_bracket type MathematicalRelation113783581.
- Poisson_bracket type Operator113786413.
- Poisson_bracket type PsychologicalFeature100023100.
- Poisson_bracket type Relation100031921.
- Poisson_bracket comment "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.".
- Poisson_bracket label "Corchete de Poisson".
- Poisson_bracket label "Crochet de Poisson".
- Poisson_bracket label "Nawias Poissona".
- Poisson_bracket label "Parentesi di Poisson".
- Poisson_bracket label "Parênteses de Poisson".
- Poisson_bracket label "Poisson bracket".
- Poisson_bracket label "Poisson-Klammer".
- Poisson_bracket label "Скобка Пуассона".
- Poisson_bracket label "ポアソン括弧".
- Poisson_bracket label "泊松括號".
- Poisson_bracket sameAs Poissonova_závorka.
- Poisson_bracket sameAs Poisson-Klammer.
- Poisson_bracket sameAs Corchete_de_Poisson.
- Poisson_bracket sameAs Crochet_de_Poisson.
- Poisson_bracket sameAs Parentesi_di_Poisson.
- Poisson_bracket sameAs ポアソン括弧.
- Poisson_bracket sameAs 푸아송_괄호.
- Poisson_bracket sameAs Nawias_Poissona.
- Poisson_bracket sameAs Parênteses_de_Poisson.
- Poisson_bracket sameAs m.01r00_.
- Poisson_bracket sameAs Q1052775.
- Poisson_bracket sameAs Q1052775.
- Poisson_bracket sameAs Poisson_bracket.
- Poisson_bracket wasDerivedFrom Poisson_bracket?oldid=605318251.
- Poisson_bracket isPrimaryTopicOf Poisson_bracket.