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Time Dependant Hamiltonian Jacob question

  1. Apr 14, 2012 #1
    1. The problem statement, all variables and given/known data

    I have a question given to me by my prof that is a time dependent Hamiltonian

    H(q,p,t) = g(t)(p2/(2m) + kq2/2)

    where f(t) has 2 different forms i need to solve

    1) eat 2) cos(gt)

    problem is goldstein only covers conserved hamiltonians in chapter 10 for the H-J equations and we have no notes in the class about them. My prof doesn't like to answer questions?

    Can someone give me some insight how to deal with the time dependent function?

    2. Relevant equations

    H(q, ∂S/∂q , t) + ∂S/∂t = 0 i think... but like i said no material on the time dependance

    3. The attempt at a solution
     
  2. jcsd
  3. Apr 15, 2012 #2
    it's all right i figured it out
     
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