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Results tagged with hilbert-space
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user 45477
This tag is for questions relating to Hilbert Space, a vector space equipped with an inner product, an operation that allows defining lengths and angles, and the space is complete. It arises naturally and frequently in mathematics and physics, typically as infinite-dimensional function spaces having the property that it is complete. Applies also to pre-Hilbert spaces, rigged Hilbert spaces, and spaces with negative norm or zero-norm states.
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Lippmann-Schwinger solution
What's wrong with this general solution of the Lippmann-Schwinger equation:
$$
|\psi_k \rangle=|\phi_k \rangle+G_k V|\psi_k \rangle
$$
Taking the inner product with $\langle\phi_{k'}|$
\begin{align}
…
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