Remarks on the Schroedinger Operator with Singular Complex Potentials.

Abstract

Schroedinger operators of the form A = delta + V(x), where delta is the Laplacian and V is a scalar potential, arise in quantum mechanics and other areas. Delicate questions concerning what domain should be assigned to A must be settled in order to have a good theory. These questions are answered here for a very general class of potentials V which may even have complex values.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1978
Accession Number
ADA063978

Entities

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  • Haiem Brezis
  • Tosio Kato

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  • University of Wisconsin–Madison

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