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Liouville's Theorem through Symplectic Geometry
Автор: Manifolds in Maryland
Загружено: 2022-04-11
Просмотров: 1091
Описание:
Liouville's theorem in classical mechanics is almost immediate in its symplectic geometry incarnation. Here I describe why!
In the previous video, I introduced Lie derivatives on vector fields, including a
derivation that the symplecitc form is preserved under Hamiltonian flow: • Lie derivatives of differential forms
In the sequel, I talk about a cute consequence of Liouville's theorem, Poincare recurrence: • Poincare recurrence
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