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

Issue: Paperback
ISBN: 978-3-99161-052-6
Scope: 192 pages
Language: Englisch
Release date: June 2025
Series: Monographic Series TU Graz / Computation in Engineering and Science, Issue 47

 36.00

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.

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.