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- W4299936622 abstract "Let -Delta+V be the Schrodinger operator acting on L^2(R^d,C) with d odd larger than 2. Here V is a bounded real- or complex-valued function vanishing outside the closed ball of center 0 and radius a. If V belongs to the class of potentials introduced by Christiansen, we show that when r goes to infinity, the resonances of -Delta+V, scaled down by the factor r, are asymptotically distributed, with respect to an explicit probability distribution on the closed lower unit half-disc of the complex plane. The rate of convergence is also considered for subclasses of potentials." @default.
- W4299936622 created "2022-10-03" @default.
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- W4299936622 date "2017-09-19" @default.
- W4299936622 modified "2023-09-29" @default.
- W4299936622 title "Distribution of scattering resonances for generic Schrodinger operators" @default.
- W4299936622 doi "https://doi.org/10.48550/arxiv.1709.06375" @default.
- W4299936622 hasPublicationYear "2017" @default.
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