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Dec. 2005 A note on the nonrelativistic limit of Dirac operators and spectral concentration
Hiroshi T. Ito, Osanobu Yamada
Proc. Japan Acad. Ser. A Math. Sci. 81(10): 157-161 (Dec. 2005). DOI: 10.3792/pjaa.81.157

Abstract

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.

Citation

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Hiroshi T. Ito. Osanobu Yamada. "A note on the nonrelativistic limit of Dirac operators and spectral concentration." Proc. Japan Acad. Ser. A Math. Sci. 81 (10) 157 - 161, Dec. 2005. https://doi.org/10.3792/pjaa.81.157

Information

Published: Dec. 2005
First available in Project Euclid: 28 December 2005

zbMATH: 1188.35157
MathSciNet: MR2196720
Digital Object Identifier: 10.3792/pjaa.81.157

Subjects:
Primary: 35Q40
Secondary: 35P99 , 81Q10

Keywords: Dirac operators , nonrelativistic limit , Pauli operators , spectral concentration

Rights: Copyright © 2005 The Japan Academy

Vol.81 • No. 10 • Dec. 2005
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