Editing Symplectomorphism (section)

{{Short description|Isomorphism of symplectic manifolds}}

{{More footnotes needed|date=May 2023}}

In [[mathematics]], a '''symplectomorphism''' or '''symplectic map''' is an [[isomorphism]] in the [[category (mathematics)|category]] of [[symplectic manifold]]s. 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]].<ref>{{cite web |last=Weisstein |first=Eric W. |title=Symplectic Diffeomorphism |work=MathWorld—A Wolfram Web Resource|url=https://mathworld.wolfram.com/SymplecticDiffeomorphism.html |access-date=November 26, 2024}}</ref>