Nonrelativistic Limit of Generalized MIT Bag Models and Spectral Inequalities.

Math Phys Anal Geom

Institut für Angewandte Mathematik, Technische Universität Graz, Steyrergasse 30, 8010 Graz, Austria.

Published: July 2024

For a family of self-adjoint Dirac operators subject to generalized MIT bag boundary conditions on domains in , 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 .

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Source
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC11263450PMC
http://dx.doi.org/10.1007/s11040-024-09484-xDOI Listing

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