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seen Jan 10 at 16:10

Dec
25
comment Meaning of a canonical transformation “preserving” a differential form?
Thanks. So for $n=1$, we would need $\frac{\partial P}{\partial p} \frac{\partial Q}{\partial q} - \frac{\partial P}{\partial q} \frac{\partial Q}{\partial p} = 1$?
Dec
25
asked Meaning of a canonical transformation “preserving” a differential form?
Nov
1
accepted How to explain the different forms of the Hamilton-Jacobi equation?
Nov
1
comment How to explain the different forms of the Hamilton-Jacobi equation?
Thank you for your help!
Nov
1
comment How to explain the different forms of the Hamilton-Jacobi equation?
What do you mean by depending explicitly on $t$? Is there a way for it to depend implicitly on $t$? And does this have to do with the fact that Arnold's definition of canonical requires that $H(q, p, t) = K(Q, P, t)$? (since this would imply that $K - H \equiv 0$.
Nov
1
comment How to explain the different forms of the Hamilton-Jacobi equation?
The way I understand it, the unknown in both PDEs is the generating function. Does the $K$ somehow turn into $-\partial S_2 / \partial t$ if you switch from type 1 to type 2?
Nov
1
awarded  Editor
Nov
1
revised How to explain the different forms of the Hamilton-Jacobi equation?
added 4 characters in body
Nov
1
asked How to explain the different forms of the Hamilton-Jacobi equation?
Aug
22
awarded  Scholar
Aug
22
accepted Conservation of angular momentum across different reference frames?
Aug
22
comment Conservation of angular momentum across different reference frames?
Thank you for the explanations!
Aug
18
awarded  Supporter
Aug
18
comment Conservation of angular momentum across different reference frames?
Thanks for your answer! I have some questions: (1) When you say "you don't take into account usual $g$," what exactly do you mean? In gyroscopes, for example, the gravity produces a torque which causes a change in angular momentum. (2) Where does the term $L_0$ come from? I thought changing $J$ to $J+mv$ would account for the change in reference frame.
Aug
17
awarded  Student
Aug
14
asked Conservation of angular momentum across different reference frames?