On a class of magnetic Schrödinger operators with discrete spectrum

DOI10.1090/S0002-9939-2011-11517-XzbMath1248.35057MaRDI QIDQ5390212

Nicolae Anghel

Publication date: 27 April 2012

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Schrödinger operatormagnetic fieldDirac operatordiscrete spectrum

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) General theory of partial differential operators (47F05) Electromagnetic interaction; quantum electrodynamics (81V10) Schrödinger operator, Schrödinger equation (35J10)

Cites Work

• Un exemple de champ magnetique dans \(R^{\nu}\)
• Magnetic Schrödinger operators with compact resolvent
• Caractérisation du spectre essentiel de l'opérateur de Schrödinger avec un champ magnétique. (Characterization of the essential spectrum of the Schrödinger operator with a magnetic field)
• Schrödinger operators with magnetic fields. I: General interactions
• DISCRETENESS OF SPECTRUM FOR THE MAGNETIC SCHRÖDINGER OPERATORS
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