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4:02 AM
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Q: Is the Lagrangian canonical momentum the fiber derivative of the Lagrangian?

glSConsider a Lagrangian $L:TQ\to \mathbb{R}$, for some smooth manifold $Q$. As explained in this answer, one can define its fiber derivative $\mathbf FL:TQ\to T^* Q$ as $$\mathbf FL(v) \equiv \mathrm d(L|_{T_x Q})(v,\bullet), \qquad v\in T_x Q.$$ More precisely, given $L|_{T_x Q}:T_x Q\to \mathbb{R...

In the context of Lagrangian mechanics, the fiber derivative is used to convert between the Lagrangian and Hamiltonian forms. In particular, if Q {\displaystyle Q} is the configuration manifold then the Lagrangian L {\displaystyle L} is defined on the tangent bundle T Q {\displaystyle TQ} and the Hamiltonian is defined on the cotangent bundle T ∗ Q {\displaystyle...
 
 
10 hours later…
2:02 PM
5
Q: Valid edit suggestion to a post was rejected.

Yooo I proposed an edit, two times on Find $\lim_{x \rightarrow \infty} \frac{\arctan (x^{3/2})}{\sqrt x}$. this question but both the times, It got rejected. For the first time, I ignored it. But it happened a second time too, on the same post. Editing a post gives $2$ points to the editor, which a...

Maybe this should be tagged (discussion)? (One thing is that it does not really fit the tag support if you look at the tag description. Additionally, if the question isn't tagged (discussion), it cannot get into the community bulletin - which probably means that it gets less attention.) — Martin Sleziak 46 secs ago
 
2:45 PM
5
Q: Valid edit suggestion to a post was rejected.

Yooo I proposed an edit, two times on Find $\lim_{x \rightarrow \infty} \frac{\arctan (x^{3/2})}{\sqrt x}$. this question but both the times, It got rejected. For the first time, I ignored it. But it happened a second time too, on the same post. Editing a post gives $2$ points to the editor, which a...

 

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