Timeline for How to prove a solution to Hamilton's equations on the tangent bundle is second order?
Current License: CC BY-SA 4.0
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| when toggle format | what | by | license | comment | |
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| Jan 17 at 18:52 | comment | added | Lawrence D'Anna | Thank you! That makes perfect sense. | |
| Jan 17 at 18:02 | comment | added | Igor Khavkine | The amount of geometric formalism obscures somewhat might be the core of your confusion. Writing things out in canonical coordinates on $T^*Q$ reveals that half of the $\Omega(X,-) = dH$ system is equivalent to $JX=\Delta$ by a crucial property of the Legendre transform, namely its involutivity ($\dot{q} = \frac{\partial H}{\partial p}\left(p=\frac{\partial L}{\partial \dot{q}}(\dot{q})\right)$). | |
| Jan 16 at 15:39 | history | asked | Lawrence D'Anna | CC BY-SA 4.0 |