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Canonical coordinates - Wikipedia, the free encyclopedia (364 words) |
 | In mathematics and physics, the canonical coordinates are a special set of coordinates on the cotangent bundle of a manifold. |
 | A change of coordinates that preserves this form is a canonical transformation; these are a special case of a symplectomorphism, which are essentially a change of coordinates on a symplectic manifold. |
 | When a Hamiltonian is defined on the cotangent bundle, then the generalized coordinates are related to the canonical coordinates by means of the Hamilton-Jacobi equations. |