On Schrödinger operators with multipolar inverse-square potentials |
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| Authors: | Veronica Felli Elsa M Marchini Susanna Terracini |
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| Institution: | aUniversità di Milano Bicocca, Dipartimento di Statistica, Via Bicocca degli Arcimboldi 8, 20126 Milano, Italy;bUniversità di Milano Bicocca, Dipartimento di Matematica e Applicazioni, Via Cozzi 53, 20125 Milano, Italy |
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| Abstract: | Positivity, essential self-adjointness, and spectral properties of a class of Schrödinger 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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| Keywords: | Multisingular potentials Hardy's inequality Schrö dinger operators |
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