2000 character limit reached
Nonrelativistic Limit of Generalized MIT Bag Models and Spectral Inequalities (2312.14550v2)
Published 22 Dec 2023 in math.SP, math-ph, math.AP, and math.MP
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 $c$.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.