The quasi-classical asymptotics of local Riesz means for the Schrödinger operator in a strong homogeneous magnetic field

DOI10.1215/S0012-7094-94-07416-4zbMath0824.35151OpenAlexW1542862658MaRDI QIDQ1331681

Alexander V. Sobolev

Publication date: 16 November 1995

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-94-07416-4

zbMATH Keywords

spectral propertiesremainderssemiclassical Schrödinger operator

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

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Cites Work

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• Asymptotics of the ground state energies of large Coulomb systems
• Asymptotics of heavy atoms in high magnetic fields. II: Semiclassical regions
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