Eigenvalue asymptotics for the Pauli operator in strong nonconstant magnetic fields

DOI10.5802/aif.1731zbMath0935.35109OpenAlexW2317337337MaRDI QIDQ1805931

Georgi D. Raikov

Publication date: 1 November 1999

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1999__49_5_1603_0

zbMATH Keywords

eigenvalue asymptoticsstrong magnetic fieldsPauli operatorsquantum mechanical equations

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items

100 years of Weyl's law, The infrared problem for the dressed non-relativistic electron in a magnetic field, The dressed nonrelativistic electron in a magnetic field.

Cites Work

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• Eigenvalue distribution theorems for certain homogeneous spaces
• Spectral properties of Schrödinger operators with magnetic fields for a spin \({1 \over{} 2}\) particle
• Schrödinger operators with magnetic fields. I: General interactions
• Asymptotic distribution of negative eigenvalues for two dimensional Pauli operators with nonconstant magnetic fields
• Ground-state density of the Pauli operator in the large field limit
• Asymptotic distribution of eigenvalues for Pauli operators with nonconstant magnetic fields
• Eigenvalue asymptotics for the schrodinger operator in strong constant magnetic fields
• The spectrum of singular boundary problems