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A note on the nonrelativistic limit of Dirac operators and spectral concentration. (English) Zbl 1188.35157

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.

MSC:

35Q40 PDEs in connection with quantum mechanics
35P99 Spectral theory and eigenvalue problems for partial differential equations
81Q10 Selfadjoint operator theory in quantum theory, including spectral analysis
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