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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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  1. Marshall Styczinski
    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. cathaychris
    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. Kevin Tah
    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. Konstantinos
    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).

    • Konstantinos
      15.09.2016 at 20:46

      So, between 0 and L/3 is 1/3…

      that’s what I meant

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