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Nonrelativistic Limit of Generalized MIT Bag Models and Spectral Inequalities
Published 22 Dec 2023 in math.SP, math-ph, math.AP, and math.MP | (2312.14550v2)
Abstract: For a family of self-adjoint Dirac operators $-i c (\alpha \cdot \nabla) + \frac{c2}{2}$ subject to generalized MIT bag boundary conditions on domains in $\mathbb R3$ 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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