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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.

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# How to derive or verify Hartree product?

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