GR0877 Problem 83
PROBLEM STATEMENT: This problem is still being typed.
SOLUTION: (E) From the Hamilton’s equation one has .
Found a typo? Comment!
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Assuming you typed your solutions in Latex, you used /varphi where in the problem, the coordinate is /phi.
Isn’t this also a statement of conservation of angular momentum?
@Marshall Styczinski: thanks, it should be , of course.
@cathaychris: yep
The question was so easy, I missed it lol, hopefully I don’t make silly mistakes on the exam!
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).
So, between 0 and L/3 is 1/3…
that’s what I meant