Project |
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Teaching Winter Term 2024/25 |
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Teaching Summer Term 2024 |
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Topics of Interest |
- Dirac and Schrödinger operators with singular interactions
- Approximation of Dirac and Schrödinger operators
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Publications |
- J. Behrndt, M. Holzmann, C. Stelzer, G. Stenzel:
A class of singular perturbations of the Dirac operator: boundary triplets and Weyl functions,
Acta Wasaensia 462 (2021), Festschrift in honor of Seppo Hassi, 15-36.
- J. Behrndt, M. Holzmann, C. Stelzer-Landauer, G. Stenzel:
Boundary triples and Weyl functions for Dirac operators with singular interactions,
Rev. Math. Phys. 36(2) (2024), 2350036 (65 pages); arXiv.
- J. Behrndt, D. Frymark, M. Holzmann, C. Stelzer-Landauer:
Nonrelativistic Limit of Generalized MIT Bag Models and Spectral Inequalities,
Math. Phys. Anal. Geom. 27 (2024), 12 (30 pages); arXiv.
- L. Heriban, M. Holzmann, C. Stelzer-Landauer, G. Stenzel, M. Tušek:
Two-dimensional Schrödinger operators with non-local singular
potentials, J. Math. Anal. Appl. 549(2) (2025), 129498 (39 pages); arXiv.
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Submitted Papers |
- J. Behrndt, M. Holzmann, C. Stelzer:
Approximation of Dirac operators with δ-shell potentials in the norm resolvent sense; arXiv.
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Master Thesis |
- C. Stelzer,
Dirac Operators with δ-Shell Interactions
on Lipschitz and C1 Surfaces,
Master Thesis (Mathematics), TU Graz, 2021, pdf.
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