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• W1625228567 abstract "We study the asymptotic behavior, as Planck's constant $hbarto 0$, of the number of discrete eigenvalues and the Riesz means of Pauli and Dirac operators with a magnetic field $mumathbf{B}(x)$ and an electric field. The magnetic field strength $mu$ is allowed to tend to infinity as $hbarto 0$. Two main types of results are established: in the first $muhbarle constant$ as $hbarto 0$, with magnetic fields of arbitrary direction; the second results are uniform with respect to $muge 0$ but the magnetic fields have constant direction. The results on the Pauli operator complement recent work of Sobolev." @default.
• W1625228567 created "2016-06-24" @default.
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• W1625228567 date "1999-11-09" @default.
• W1625228567 modified "2023-09-27" @default.
• W1625228567 title "Semi-classical asymptotics for the counting functions and Riesz means of Pauli and Dirac operators with large magnetic fields" @default.
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