Proc. Japan Acad. Ser. A Math. Sci. 81 (10), 157-161, (Dec. 2005) DOI: 10.3792/pjaa.81.157
Hiroshi T. Ito, Osanobu Yamada
KEYWORDS: Dirac operators, nonrelativistic limit, Pauli operators, spectral concentration, 35Q40, 35P99, 81Q10
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.