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Mathematics in Engineering

2021, Volume 3, Issue 2: 1-14. doi: 10.3934/mine.2021017
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On real resonances for three-dimensional Schrödinger operators with point interactions

  • 1.
    Institute for Applied Mathematics, University of Bonn, Endenicher Allee 60, D-53115 Bonn, Germany
  • 2.
    Gran Sasso Science Institute - GSSI, Viale Francesco Crispi 7, 67100 L'Aquila, Italy
  • †This contribution is part of the Special Issue: Qualitative Analysis and Spectral Theory for Partial Differential Equations
    Guest Editor: Veronica Felli
    Link: www.aimspress.com/mine/article/5511/special-articles
  • Received: 18 February 2020 Accepted: 27 May 2020 Published: 29 June 2020

  • MSC : 35B25, 35B34, 35J10, 47A75, 81Q10

  • We prove the absence of positive real resonances for Schrödinger operators with finitely many point interactions in $\mathbb{R}^3$ and we discuss such a property from the perspective of dispersive and scattering features of the associated Schrodinger propagator.

    Citation: Alessandro Michelangeli, Raffaele Scandone. On real resonances for three-dimensional Schrödinger operators with point interactions[J]. Mathematics in Engineering, 2021, 3(2): 1-14. doi: 10.3934/mine.2021017

    Related Papers:

  • We prove the absence of positive real resonances for Schrödinger operators with finitely many point interactions in $\mathbb{R}^3$ and we discuss such a property from the perspective of dispersive and scattering features of the associated Schrodinger propagator.


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