Regularity of Bound States

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    Abstract

    We study regularity of bound states pertaining to embedded eigenvalues of a self-adjoint operator H, with respect to an auxiliary operator A that is conjugate to H in the sense of Mourre. We work within the framework of singular Mourre theory which enables us to deal with confined massless Pauli–Fierz models, our primary example, and many-body AC-Stark Hamiltonians. In the simpler context of regular Mourre theory, our results boil down to an improvement of results obtained recently in [8, 9].
    Original languageEnglish
    JournalReviews in Mathematical Physics
    Volume23
    Issue5
    Pages (from-to)453-530
    Number of pages78
    ISSN0129-055X
    DOIs
    Publication statusPublished - 2011

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