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Verlag der Technischen Universität Graz


Christian Stelzer-Landauer
Approximation of Dirac Operators with Delta-shell Potentials in the Norm Resolvent Sense

Issue: Open Access E-Book
ISBN: 978-3-99161-053-3
Scope: 192 pages
Language: Englisch
Release date: June 2025
Series: Monographic Series TU Graz / Computation in Engineering and Science, Issue 47

This thesis is devoted to the approximation of Dirac operators with δ-shell potentials by Dirac operators with strongly localized potentials. In particular, for the first time norm-resolvent convergence is considered. In this setting, convergence conditions, counterexamples and important spectral implications are presented.

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This thesis is devoted to the approximation of Dirac operators with δ-shell potentials by Dirac operators with strongly localized potentials. In particular, for the first time norm-resolvent convergence is considered. In this setting, convergence conditions, counterexamples and important spectral implications are presented.

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