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[coupled harmonic oscillators] old thread- need elaboration

  1. Dec 4, 2012 #1
    Hi
    Can someone please explain the answer to the following thread? I tried uncoupling the Hamiltonian but to no avail.

    https://www.physicsforums.com/showthread.php?t=602106

    Thank you.
     
  2. jcsd
  3. Dec 4, 2012 #2

    mfb

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    Re: old thread- need elaboration

    Did you try the proposed rotation?

    ##x'=\cos(\alpha)x + \sin(\alpha)y##, ##y'=-\sin(\alpha)x + \cos(\alpha)y##

    Where α has to be determined to uncouple the Hamiltonian.
     
  4. Dec 4, 2012 #3
    Re: old thread- need elaboration

    Yes i tried but I am still getting xy term
     
  5. Dec 5, 2012 #4

    mfb

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    You could show your work here, this would help to find the error.
     
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