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Regularity of Bound States

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  • Institut for Matematiske Fag
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 boils down to an improvement of results obtained recently in [Ca,CGH].
OriginalsprogEngelsk
TidsskriftReviews in Mathematical Physics
Vol/bind23
Nummer5
Sider (fra-til)453-530
Antal sider78
ISSN0129-055X
DOI
StatusUdgivet - 2011

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