Nonrelativistic Limit of Generalized MIT Bag Models and Spectral Inequalities

Jussi Behrndt; Dale Frymark; Markus Holzmann; Christian Stelzer-Landauer

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arXiv · 2312.14550

Nonrelativistic Limit of Generalized MIT Bag Models and Spectral Inequalities

Jussi Behrndt·Dale Frymark·Markus Holzmann·Christian Stelzer-Landauer

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Abstract

For a family of self-adjoint Dirac operators $-i c (\alpha \cdot \nabla) + \frac{c^2}{2}$ subject to generalized MIT bag boundary conditions on domains in $\mathbb R^3$ it is shown that the nonrelativistic limit in the norm resolvent sense is the Dirichlet Laplacian. This allows to transfer spectral geometry results for Dirichlet Laplacians to Dirac operators for large $c$.

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BibTeX RIS

Jussi Behrndt, Dale Frymark, Markus Holzmann, Christian Stelzer-Landauer. 2023-12-22. Nonrelativistic Limit of Generalized MIT Bag Models and Spectral Inequalities. https://arxiv.org/abs/2312.14550

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