On the continuity of spectra for families of magnetic pseudodifferential operators

For families of magnetic pseudodifferential operators defined by symbols and magnetic fields depending continuously on a real parameter ϵ , we show that the corresponding family of spectra also varies continuously with ϵ .

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Bibliographic Details
Published in:Journal of mathematical physics 2010-08, Vol.51 (8), p.083517-083517-15
Main Authors: Athmouni, Nassim, Măntoiu, Marius, Purice, Radu
Format: Article
Language:English
Subjects:
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
DIFFERENTIAL EQUATIONS
EQUATIONS
Exact sciences and technology
MAGNETIC FIELDS
Mathematical functions
Mathematical methods in physics
MATHEMATICAL OPERATORS
Mathematics
MECHANICS
NONLINEAR PROBLEMS
PARTIAL DIFFERENTIAL EQUATIONS
Physics
QUANTIZATION
QUANTUM MECHANICS
QUANTUM OPERATORS
SCHROEDINGER EQUATION
Sciences and techniques of general use
SPECTRA
WAVE EQUATIONS
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Description
Summary:For families of magnetic pseudodifferential operators defined by symbols and magnetic fields depending continuously on a real parameter ϵ , we show that the corresponding family of spectra also varies continuously with ϵ .
ISSN:0022-2488
1089-7658
DOI:10.1063/1.3470118