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arXiv · 1005.4943

Wave operator bounds for 1-dimensional Schrödinger operators with singular potentials and applications

Vincent Duchêne·Jeremy L. Marzuola·Michael I. Weinstein
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Abstract

Boundedness of wave operators for Schrödinger operators in one space dimension for a class of singular potentials, admitting finitely many Dirac delta distributions, is proved. Applications are presented to, for example, dispersive estimates and commutator bounds.

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Vincent Duchêne, Jeremy L. Marzuola, Michael I. Weinstein. 2010-05-26. Wave operator bounds for 1-dimensional Schrödinger operators with singular potentials and applications. https://doi.org/10.1063/1.3525977

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