The L^p boundedness of wave operators for the three-dimensional multi-centre point interaction
classification
🧮 math-ph
math.FAmath.MP
keywords
operatorsmulti-centrepointwavearbitraryboundedboundednesscentres
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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 $L^p(\mathbb{R}^3)$ for $1<p<3$ and unbounded otherwise.
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