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Hamiltonian mechanics in 12 equivalent characterizations
Автор: Gabriele Carcassi
Загружено: 2024-08-01
Просмотров: 28593
Описание:
What does Hamiltonian mechanics represent at the mathematical, geometrical and physical level? Here are 12 equivalent characterizations of Hamiltonian mechanics for one degree of freedom, that shows how the flow of states is the gradient of the Hamiltonian rotated 90 degrees, is incompressible, preserves area and, physically, it corresponds to deterministic and reversible evolution.
#classicalmechanics #hamiltonian #symplecticgeometry #determinism
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