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Semiclassical Asymptotics of Eigenvalues for Dirac Operators with Magnetic Fields

✍ Scribed by Naohiro Suzuki

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
82 KB
Volume
253
Category
Article
ISSN
0022-247X

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✦ Synopsis

The main purpose of the present paper is to investigate the semiclassical asymptotics of eigenvalues for the Dirac operator with magnetic fields. In the case of the Schrodinger operator with magnetic field, this problem was recently solved by Matsumoto. We show that the nth positive eigenvalue of the Dirac operator behaves like that of the associated Schrodinger operator via unitary equivalence of ẗheir spectral measures.

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