symplectomorphism
Sign in to saveAlso known as symplectic diffeomorphism, symplectic map
In mathematics, a symplectomorphism or symplectic map is an isomorphism in the category of symplectic manifolds. In classical mechanics, a symplectomorphism represents a transformation of phase space that is volume-preserving and preserves the symplectic structure of phase space, and is called a canonical transformation.
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- Subclass of
- diffeomorphism
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Encyclopedic overview
7 sectionsContents
- Formal definition
- The group of (Hamiltonian) symplectomorphisms
- Comparison with Riemannian geometry
- Quantizations
- Arnold conjecture
- See also
- References
In mathematics, a symplectomorphism or symplectic map is an isomorphism in the category of symplectic manifolds. In classical mechanics, a symplectomorphism represents a transformation of phase space that is volume-preserving and preserves the symplectic structure of phase space, and is called a canonical transformation.
==Formal definition==
Excerpted from Wikipedia’s “symplectomorphism” article, available under the CC BY-SA 4.0 licence.