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

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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