1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: How to determine what is conserved given a hamilitonian

  1. Oct 9, 2015 #1
    1. The problem statement, all variables and given/known data
    Given the Hamiltonian's determine what quantities are conserved. These are labeled H1 and H2 in the picture.

    2. Relevant equations
    The relevant equations are q'=dH/dp and p'=-dH/dq

    3. The attempt at a solution
    My attempt is below
    ignore the negative sign for q' in H2
    Last edited: Oct 9, 2015
  2. jcsd
  3. Oct 9, 2015 #2
    Well, looks fine. But, in second problem, one of the [itex] \dot{P}_i [/itex] should be positive and so the total momentum variation will be zero.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted