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Scattering Length and the Spectrum of –Δ + V
Published online by Cambridge University Press: 20 November 2018
Abstract
Given a non-negative, locally integrable function $V$ on ${{\mathbb{R}}^{n}}$, we give a necessary and sufficient condition that $-\Delta +V$ have purely discrete spectrum, in terms of the scattering length of $V$ restricted to boxes.
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- Research Article
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- Copyright © Canadian Mathematical Society 2006
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