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. (C) 2007 Elsevier Inc. All rights reserved.
Felli, V., Marchini, E., Terracini, S. (2007). On Schrödinger operators with multipolar inverse-square potentials. JOURNAL OF FUNCTIONAL ANALYSIS, 250(2), 265-316 [10.1016/j.jfa.2006.10.019].
On Schrödinger operators with multipolar inverse-square potentials
FELLI, VERONICA;TERRACINI, SUSANNA
2007
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. (C) 2007 Elsevier Inc. All rights reserved.
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