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The $L^p$ boundedness of wave operators for the three-dimensional multi-centre point interaction

Published 13 Apr 2017 in math-ph, math.FA, and math.MP | (1704.04263v3)

Abstract: We prove that, for arbitrary centres and strengths, the wave operators for three dimensional Schr\"odinger operators with multi-centre local point interactions are bounded in $Lp(\mathbb{R}3)$ for $1<p<3$ and unbounded otherwise.

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