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The Legendre dual of the Hamiltonian — H = p q' − L
lagrangian
L and H are Legendre transforms of one another: L = T - V (the generator of the path), H = T + V (the generator of time). Free particle: L = (1/2) m v^2, p = m v, H = p v - L. Sealed on this stick and on stick_the_legendre_transform_mark_the_points_create_the_line.
source
Narrow Highway — the Lagrangian
card id
card_lag_legendre_dual
address
WIT.codex.FCT/the-legendre-dual-of-the-hamiltonian-h-p-q-l/REF.WITNESSED@narrow-highway
adjoining cards
- part of → The Lagrangian — the Hamiltonian's dual, the path chosen — a pillar of the Lagrangian (The Legendre dual of the Hamiltonian)
- connects at → The Hamiltonian — the law of the flow — the two faces of one dynamics: L is T - V, H is T + V, joined by the Legendre transform
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