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Deriving the Hamiltonian of a system

  1. Jun 24, 2015 #1
    1. The problem statement, all variables and given/known data
    Derive the Hamiltonian equation in terms of momentum and position ( p and r) for the given system whose lagrangian is stated as L=ř^2/(2w) - wr^2/2

    2. Relevant equations
    L=ř^2/(2w) - wr^2/2 and H=př-L

    3. The attempt at a solution
    Notice here ř means first derivative of r. As i havent learned how to write equations i derives a solution whoch looks correct and took a picture. I am hoping you can see if it is correct and point at mistakes. In the work i exchanged r with q.
    Here are the links to 2 photos i took

    http://www.photobox.co.uk/my/photo?album_id=3508111407&photo_id=8712540967#8712540967

    http://www.photobox.co.uk/my/photo?album_id=3508111407&photo_id=8712541232#8712541232

     

    Attached Files:

  2. jcsd
  3. Jun 26, 2015 #2
    It says You cannot access this album
     
  4. Jun 26, 2015 #3
    You need hamiltonian equation, not the Hamiltonian. So start from lagrangian equation of motion.
     
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