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On Schoedinger operators with multipolar inverse-square potentials

Veronica Felli·Elsa M. Marchini·Susanna Terracini
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Abstract

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.

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Veronica Felli, Elsa M. Marchini, Susanna Terracini. 2007-07-23. On Schoedinger operators with multipolar inverse-square potentials. https://arxiv.org/abs/math/0602209

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