Second order semiclassics with self-generated magnetic fields

DOI10.1007/s00023-011-0150-zzbMath1252.81064arXiv1105.0512OpenAlexW3105788834WikidataQ59255707 ScholiaQ59255707MaRDI QIDQ425118

László Erdős, Søren Fournais, Jan Philip Solovej

Publication date: 7 June 2012

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.0512

zbMATH Keywords

Schrödinger operatorPauli operatorsemiclassical asymptoticsScott correctionself-generated magnetic field

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (5)

Stability and semiclassics in self-generated fields ⋮ The Scott conjecture for large Coulomb systems: a review ⋮ The ground state energy of heavy atoms: the leading correction ⋮ The reduced Hartree-Fock model with self-generated magnetic fields ⋮ MICROSCOPIC FOUNDATIONS OF THE MEIßNER EFFECT: THERMODYNAMIC ASPECTS

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• DISCRETE SPECTRUM ASYMPTOTICS FOR THE SCHRÖDINGER OPERATOR WITH A SINGULAR POTENTIAL AND A MAGNETIC FIELD
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• Microlocal Analysis, Sharp Spectral Asymptotics and Applications I

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