Schrödinger Operator Perturbed by Operators Related to Null Sets

Schrödinger Operator Perturbed by Operators Related to Null Sets We discuss the Schrödinger operator with positive singular perturbations given by operators which act in the space constructed by a positive measure supported by a null set. We construct examples when perturbations are given by the one-dimensional Laplacian on a segment. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

Schrödinger Operator Perturbed by Operators Related to Null Sets

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Publisher
Kluwer Academic Publishers
Copyright
Copyright © 1998 by Kluwer Academic Publishers
Subject
Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
ISSN
1385-1292
eISSN
1572-9281
D.O.I.
10.1023/A:1009779706963
Publisher site
See Article on Publisher Site

Abstract

We discuss the Schrödinger operator with positive singular perturbations given by operators which act in the space constructed by a positive measure supported by a null set. We construct examples when perturbations are given by the one-dimensional Laplacian on a segment.

Journal

PositivitySpringer Journals

Published: Oct 7, 2004

References

  • The interaction between a neutron and a proton and the structure of H3
    Thomas, L. H.
  • The Fermi surface for point interactions
    Høegh-Krohn, R.; Holden, H.; Johannesen, S.; Wenzel-Larsen, T.

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