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Problem with propagator

  1. Mar 18, 2005 #1
    given the propagator:

    [tex]G(x,t)=\frac{1}{e^{xt}+1}[/tex]

    and knowing that HG(x,t)=d(x-t) with d the "delta" function and H the Hamiltonian,then how could we construct (knowng G(x,t))the Hamiltonian?...

    I one work i heard about the Green inverse function, how is it calculated?
     
  2. jcsd
  3. Mar 18, 2005 #2
    Well that is quite some work ? Are you expected to do that all on your own ? Normally you should have seen this in your QFT-course or your QM-course. It is an integral equation that you'll need to solve

    regards
    marlon
     
  4. Mar 21, 2005 #3

    dextercioby

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    I think you can use Fourier Transforms to find the Forurier transform of the operator you're looking for.
     
  5. Mar 21, 2005 #4
    Well, that's not all there is to it.

    The OP must have seen some analoguous systems in his/her QFT-course, otherwise i really don't see the point of us starting to discuss this topic

    marlon
     
  6. Mar 21, 2005 #5

    dextercioby

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    It's Jose.He's a "he".It doesn't seem like QFT to me...
     
  7. Mar 21, 2005 #6
    it has to be QM or QFT, you cannot tell which one based upon these data

    marlon
     
  8. Mar 27, 2005 #7

    reilly

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    Try setting 1+exp(xt) = z. Then G=1/z, and work backwards from Poisson's Eq in z.

    Regards,
    Reilly Atkinson
     
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