Abstract
AbstractFor a family of self-adjoint Dirac operators $$-i c (\alpha \cdot \nabla ) + \frac{c^2}{2}$$
-
i
c
(
α
·
∇
)
+
c
2
2
subject to generalized MIT bag boundary conditions on domains in $$\mathbb {R}^3$$
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.
Funder
Austrian Science Fund
European Cooperation in Science and Technology
Graz University of Technology
Publisher
Springer Science and Business Media LLC
Cited by
1 articles.
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