1. Not finding help here? Sign up for a free 30min 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!

[x, H]= ?

  1. Feb 14, 2006 #1
    [x, H]= ??

    Given the Hamilton operator for the simple harmonic oscilator H, how do I get to [X, H]= ih(P/ m)? I put X in momentum representation, but then I can't get rid of these diff operators. mmh?

    thanks in advance
     
  2. jcsd
  3. Feb 14, 2006 #2

    Hurkyl

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    You don't need to use any representation at all -- just the expression of H in terms of X and P, and the identity XP - PX=k. (I forget what k is. *sigh*)
     
    Last edited: Feb 14, 2006
  4. Feb 14, 2006 #3

    George Jones

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    You don't need to use differential operators - you can work it out using commutators.

    Hint:

    [A , BC] = B[A , C] + [A , B]C.

    Uses this on the [x , p^2] part.

    Regards,
    George
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: [x, H]= ?
  1. H and E (Replies: 4)

Loading...