Semi-classical asymptotics for the counting functions and Riesz means of Pauli and Dirac operators with large magnetic fields

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dc.creatorBalinsky, A. A.
dc.creatorEvans, W. D.
dc.creatorLewis, Roger T.
dc.date1999-11-09
dc.date.accessioned2026-07-07T04:33:05Z
dc.date.available2026-07-07T04:33:05Z
dc.descriptionWe study the asymptotic behavior, as Planck's constant $\hbar\to 0$, of the number of discrete eigenvalues and the Riesz means of Pauli and Dirac operators with a magnetic field $μ\mathbf{B}(x)$ and an electric field. The magnetic field strength $μ$ is allowed to tend to infinity as $\hbar\to 0$. Two main types of results are established: in the first $μ\hbar\le constant$ as $\hbar\to 0$, with magnetic fields of arbitrary direction; the second results are uniform with respect to $μ\ge 0$ but the magnetic fields have constant direction. The results on the Pauli operator complement recent work of Sobolev.
dc.identifierhttps://arxiv.org/abs/math-ph/9911013
dc.identifierhttp://arxiv.org/abs/math-ph/9911013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58438
dc.subjectMathematical Physics
dc.subjectSpectral Theory
dc.titleSemi-classical asymptotics for the counting functions and Riesz means of Pauli and Dirac operators with large magnetic fields
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