The structure of the wave operator in four dimensions in the presence of resonances

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2024年10月19日

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Angus Alexander,
Adam Rennie

摘要

We show that the wave operators for Schrödinger scattering in $\mathbb {R}^4$ $R^{4}$ have a particular form which depends on the existence of resonances. As a consequence of this form, we determine the contribution of resonances to the index of the wave operator.