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Asymptotics of Random Resonances Generated by a Point Process of Delta-Interactions

Asymptotics of Random Resonances Generated by a Point Process of Delta-Interactions

We introduce and study the following model for random resonances: we take a collection \(\Upsilon \) of point interactions \(\Upsilon _j\) generated by a simple finite point process in \(\mathbb R^3\) and consider the resonances of associated random Schrödinger Hamiltonians \(H_\Upsilon = -\Delta + ``\sum \mathfrak {m}(\alpha ) \delta (x …