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arxiv: 1610.02319 · v2 · pith:7UICPUQKnew · submitted 2016-10-07 · 🧮 math-ph · math.MP· math.SP

Multipoint scatterers with zero-energy bound states

P.G. Grinevich (1) , R.G. Novikov (2) ((1) L.D. Landau Institute for Theoretical Physics RAS , Chernogolovka , Moscow region , Russia , Moscow State University , Moscow , Moscow Physical-Technical Institute
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(2) Centre de Math\'ematiques Appliqu\'ees \'Ecole polytechnique Universit\'e Paris Saclay)
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classification 🧮 math-ph math.MPmath.SP
keywords boundscatterersstateszero-energymultipointdimensionseigenvalueexamples
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We study multipoint scatterers with zero-energy bound states in three dimensions. We present examples of such scatterers with multiple zero eigenvalue or with strong multipole localization of zero-energy bound states.

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