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## GR0877 Problem 83

PROBLEM STATEMENT: This problem is still being typed.

SOLUTION: (E) From the Hamilton’s equation $\dot{p}_{\phi} = -\frac{\partial H}{\partial \phi} = 0$ one has $p_{\phi} = const$.

Found a typo? Comment!

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Categories: 0877 Tags: , , , ,
1. 15.10.2011 at 02:26

Assuming you typed your solutions in Latex, you used /varphi where in the problem, the coordinate is /phi.

2. 15.10.2011 at 09:26

Isn’t this also a statement of conservation of angular momentum?

• 15.10.2011 at 10:16

@Marshall Styczinski: thanks, it should be $\phi$, of course.
@cathaychris: yep

3. 20.10.2015 at 22:42

The question was so easy, I missed it lol, hopefully I don’t make silly mistakes on the exam!

4. 15.09.2016 at 20:45

A faster way would be to consider that the possibility to be found somewhere between 0 and L is 1. But, the length is cut to 3 equal parts; namely L/3, 2L/3, and L. So, between 0 and L is 1/3, and same goes for L/3 to 2L/3, and 2L/3 to L (conservation of possibility).

• 15.09.2016 at 20:46

So, between 0 and L/3 is 1/3…

that’s what I meant