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How to derive or verify Hartree product?

  1. May 6, 2013 #1
    Happy summer...ish!

    I am reading the lecture/presentation at:

    http://fias.uni-frankfurt.de/~brat/LecturesWS1011/Lecture5.pdf

    In slide two, they outline the Hartree product, but can anyone give a hint about how it's derived, or how to verify it?

    Put another way, can someone give me a a hint about how to show that that product is an eigenfunction of the time independent Schrodinger equation? I have read that it is 'easy', but I am unsure where to start.
     
  2. jcsd
  3. May 6, 2013 #2
    Because the particles do not interact the Scroedinger equation decouples for every single particle's variable ##\vec{r}## and because the vairables separate the ansatz of function products is the right solution.
     
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