Zero resonances for localised potentials

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    Abstract

    This paper considers Hamiltonians with localised potentials and gives a variational characterisation of resonant coupling parameters, which allow us to provide estimates for the first resonant parameter and in turn also to provide bounds for resonant free regions. As an application, we provide a constructive approach to calculate the first resonant parameter for Yukawa type potentials in R3.

    Original languageEnglish
    Article number071502
    JournalJournal of Mathematical Physics
    Volume59
    Issue number7
    DOIs
    Publication statusPublished - 2018 Jul 1

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    ASJC Scopus subject areas

    • Statistical and Nonlinear Physics
    • Mathematical Physics

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