On Schoedinger operators with multipolar inverse-square potentials

Positivity, essential self-adjointness, and spectral properties of a class of Schroedinger operators with multipolar inverse-square potentials are discussed. In particular a necessary and sufficient condition on the masses of singularities for the existence of at least a configuration of poles ensur...

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Hauptverfasser: Felli, Veronica, Marchini, Elsa M, Terracini, Susanna
Format: Artikel
Sprache:eng
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Zusammenfassung:Positivity, essential self-adjointness, and spectral properties of a class of Schroedinger operators with multipolar inverse-square potentials are discussed. In particular a necessary and sufficient condition on the masses of singularities for the existence of at least a configuration of poles ensuring the positivity of the associated quadratic form is established.
DOI:10.48550/arxiv.math/0602209