Modern Quantum Chemistry

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Exercise. This is the solution to exercise 7.1 in the book.

Solution. We can write V as

V = G0(E)1 G(E)1

If we replace V in G0(E)V G(E) we get:

G0(E)V G(E) = G0(E) G0(E)1 G(E)1 G(E)

or

G0(E)V G(E) = G0(E)G0(E)1G(E) G 0(E)G(E)1G(E)

or

G0(E)V G(E) = G(E) G0(E)

Therefore

G(E) = G0(E) + G0(E)V G(E)