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- Hamiltonian_vector_field abstract "In mathematics and physics, a Hamiltonian vector field on a symplectic manifold is a vector field, defined for any energy function or Hamiltonian. Named after the physicist and mathematician Sir William Rowan Hamilton, a Hamiltonian vector field is a geometric manifestation of Hamilton's equations in classical mechanics. The integral curves of a Hamiltonian vector field represent solutions to the equations of motion in the Hamiltonian form. The diffeomorphisms of a symplectic manifold arising from the flow of a Hamiltonian vector field are known as canonical transformations in physics and (Hamiltonian) symplectomorphisms in mathematics.Hamiltonian vector fields can be defined more generally on an arbitrary Poisson manifold. The Lie bracket of two Hamiltonian vector fields corresponding to functions f and g on the manifold is itself a Hamiltonian vector field, with the Hamiltonian given by the Poisson bracket of f and g.".
- Hamiltonian_vector_field wikiPageID "1818270".
- Hamiltonian_vector_field wikiPageRevisionID "604298196".
- Hamiltonian_vector_field hasPhotoCollection Hamiltonian_vector_field.
- Hamiltonian_vector_field subject Category:Hamiltonian_mechanics.
- Hamiltonian_vector_field subject Category:Symplectic_geometry.
- Hamiltonian_vector_field comment "In mathematics and physics, a Hamiltonian vector field on a symplectic manifold is a vector field, defined for any energy function or Hamiltonian. Named after the physicist and mathematician Sir William Rowan Hamilton, a Hamiltonian vector field is a geometric manifestation of Hamilton's equations in classical mechanics. The integral curves of a Hamiltonian vector field represent solutions to the equations of motion in the Hamiltonian form.".
- Hamiltonian_vector_field label "Campo vettoriale hamiltoniano".
- Hamiltonian_vector_field label "Champ de vecteurs hamiltonien".
- Hamiltonian_vector_field label "Hamiltonian vector field".
- Hamiltonian_vector_field label "ハミルトンベクトル場".
- Hamiltonian_vector_field label "哈密顿向量场".
- Hamiltonian_vector_field sameAs Champ_de_vecteurs_hamiltonien.
- Hamiltonian_vector_field sameAs Campo_vettoriale_hamiltoniano.
- Hamiltonian_vector_field sameAs ハミルトンベクトル場.
- Hamiltonian_vector_field sameAs m.05zckx.
- Hamiltonian_vector_field sameAs Q2256693.
- Hamiltonian_vector_field sameAs Q2256693.
- Hamiltonian_vector_field wasDerivedFrom Hamiltonian_vector_field?oldid=604298196.
- Hamiltonian_vector_field isPrimaryTopicOf Hamiltonian_vector_field.