Papers › Computing Scattering Resonances

Computing Scattering Resonances

5 Jun 2020arXiv:2006.03368links table onlyarchive 2025-07-28

Jonathan Ben-Artzi, Marco Marletta, Frank Rösler

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The question of whether it is possible to compute scattering resonances of Schr\"odinger operators - independently of the particular potential - is addressed. A positive answer is given, and it is shown that the only information required to be known a priori is the size of the support of the potential. The potential itself is merely required to be 𝒞¹. The proof is constructive, providing a universal algorithm which only needs to access the values of the potential at any requested point.

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