A note on the nonrelativistic limit of Dirac operators and spectral concentration

We study the nonrelativistic limit of Dirac operators from the viewpoint of the spectral relationship between Dirac operators and Pauli operators. We show that Dirac operators have spectral concentration about eigenvalues of Pauli operators for a large class of magnetic fields and electric potential...

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Bibliographic Details
Published in:Proceedings of the Japan Academy. Series A. Mathematical sciences 2005-12, Vol.81 (10), p.157-161
Main Authors: T. Ito, Hiroshi, Yamada, Osanobu
Format: Article
Language:English
Subjects:
35P99
35Q40
81Q10
Dirac operators
nonrelativistic limit
Pauli operators
spectral concentration
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Summary:We study the nonrelativistic limit of Dirac operators from the viewpoint of the spectral relationship between Dirac operators and Pauli operators. We show that Dirac operators have spectral concentration about eigenvalues of Pauli operators for a large class of magnetic fields and electric potentials diverging at infinity.
ISSN:0386-2194
DOI:10.3792/pjaa.81.157