On Schoedinger operators with multipolar inverse-square potentials

Mathematics – Analysis of PDEs

Scientific paper

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Scientific paper

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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