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Figure 1. Analytic continuation from the upper rim of the cut into the lower half plane of the secondsheet: “from above to below”.
Figure 3.The “from below to above” and the “from above to below” analytic continuations of theGreen function.
Figure 4. The naive analyticity structure of the Lippmann–Schwinger bras and kets.
Figure 6.The Lippmann–Schwinger bras and kets as boundary values on the upper rim of the cut,from which cut they are continued into the whole complex plane.

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