On Schrödinger Operators with Multisingular Inverse-square Anisotropic Potentials

We study positivity, localization of binding and essential self-adjointness properties of a class of Schrödinger operators with many anisotropic inverse square singularities, including the case of multiple dipole potentials.

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Bibliographische Detailangaben
Veröffentlicht in:	Indiana University mathematics journal 2009-01, Vol.58 (2), p.617-676
Hauptverfasser:	Felli, Veronica, Marchini, Elsa M., Terracini, Susanna
Format:	Artikel
Sprache:	eng
Schlagworte:	Differential equations Eigenvalues Elliptic equations Exact sciences and technology General mathematics General, history and biography Infinity Mathematical analysis Mathematical inequalities Mathematics Molecules Partial differential equations Perceptron convergence procedure Sciences and techniques of general use Spectroscopic analysis Sufficient conditions
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Beschreibung
Zusammenfassung:	We study positivity, localization of binding and essential self-adjointness properties of a class of Schrödinger operators with many anisotropic inverse square singularities, including the case of multiple dipole potentials.
ISSN:	0022-2518 1943-5258
DOI:	10.1512/iumj.2009.58.3471