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

Ito, Hiroshi T.; Yamada, Osanobu

Proc. Japan Acad., Ser. A 81, No. 10, 157-161 (2005).

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

Keywords:

Dirac operators; nonrelativistic limit; Pauli operators; spectral concentration

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