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Journal Article

Lp-Boundedness of Wave Operators for the Three-Dimensional Multi-Centre Point Interaction

Annales Henri Poincare (2018) 19(1) 283-322
DOI: 10.1007/s00023-017-0628-4
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Abstract

We prove that, for arbitrary centres and strengths, the wave operators for three-dimensional Schrödinger operators with multi-centre local point interactions are bounded in Lp(R3) for 1 < p< 3 and unbounded otherwise.

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Dell’Antonio, G., Michelangeli, A., Scandone, R., & Yajima, K. (2018). Lp-Boundedness of Wave Operators for the Three-Dimensional Multi-Centre Point Interaction. Annales Henri Poincare, 19(1), 283–322. https://doi.org/10.1007/s00023-017-0628-4

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