Asymptotic distribution of negative eigenvalues for three dimensional Pauli operators with nonconstant magnetic fields

DOI10.2977/prims/1145476340zbMath1022.35031OpenAlexW1964299903MaRDI QIDQ1848501

Akihiro Shimomura

Publication date: 19 October 2003

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1145476340

zbMATH Keywords

potentialasymptoticseigenvaluesmagnetic fieldPauli operator

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)

Cites Work

• Asymptotic distribution of eigenvalues for Schrödinger operators with homogeneous magnetic fields
• L'asymptotique de Weyl pour les bouteilles magnétiques. (The Weyl asymptotic formula for magnetic bottles)
• 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
• Asymptotic distribution of eigenvalues for Pauli operators with nonconstant magnetic fields
• Unnamed Item

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