On the essential spectrum of magnetic pseudodifferential operators

DOI10.1016/j.crma.2006.11.001zbMath1113.47036OpenAlexW2113908373MaRDI QIDQ866578

Radu Purice, Serge Richard, Marius Măntoiu

Publication date: 14 February 2007

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2006.11.001

zbMATH Keywords

twisted crossed productmagnetic Moyal *-algebramagnetic Moyal productmagnetic PsDO

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Operator algebra methods applied to problems in quantum theory (81R15) Pseudodifferential operators (47G30) Linear operators in (C^*)- or von Neumann algebras (47C15)

Related Items (1)

Closure of the Laplace-Beltrami operator on 2D almost-Riemannian manifolds and semi-Fredholm properties of differential operators on Lie manifolds

Cites Work

• Unnamed Item
• Essential spectrum of perturbed pseudodifferential operators. Applications to the Schrödinger, Klein-Gordon, and Dirac operators
• 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)
• Crossed products of \(C^\ast\)-algebras and spectral analysis of quantum Hamiltonians
• Propagation properties for Schrödinger operators affiliated with certain \(C^*\)-algebras
• The essential spectrum of Schrödinger, Jacobi, and CMV operators
• Symplectic areas, quantization, and dynamics in electromagnetic fields
• The magnetic Weyl calculus
• LOCALIZATIONS AT INFINITY AND ESSENTIAL SPECTRUM OF QUANTUM HAMILTONIANS I: GENERAL THEORY
• \(C_0\)-groups, commutator methods and spectral theory of \(N\)-body Hamiltonians

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