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

TitleLp-Boundedness of Wave Operators for the Three-Dimensional Multi-Centre Point Interaction
Publication TypeJournal Article
Year of Publication2018
AuthorsDell'Antonio, G, Michelangeli, A, Scandone, R, Yajima, K
JournalAnnales Henri Poincaré
Volume19
Pagination283–322
Date PublishedJan
ISSN1424-0661
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.

URLhttps://doi.org/10.1007/s00023-017-0628-4
DOI10.1007/s00023-017-0628-4

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