WIAS Preprint No. 1938, (2014)

Point contacts and boundary triples



Authors

  • Lotoreichik, Vladimir
  • Neidhardt, Hagen
  • Popov, Igor Yu.

2010 Mathematics Subject Classification

  • 47A55 47B25 81Q10 81Q15

Keywords

  • Boundary triples, Weyl function, point contacts, weak coupling, perturbation series

DOI

10.20347/WIAS.PREPRINT.1938

Abstract

We suggest an abstract approach for point contact problems in the framework of boundary triples. Using this approach we obtain the perturbation series for a simple eigenvalue in the discrete spectrum of the model self-adjoint extension with weak point coupling.

Appeared in

  • Mathematical Results in Quantum Mechanics. Proceedings of the QMath12 Conference, P. Exner, W. König, H. Neidhardt, eds., World Scientific Publishing, Singapore, 2015, pp. 283--293

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