On the continuity of spectra for families of magnetic pseudodifferential operators

Journal Article · Sun Aug 15 00:00:00 EDT 2010 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.3470118· OSTI ID:21476546

Athmouni, Nassim ^[1]; Mantoiu, Marius ^[2]; Purice, Radu ^[3]

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1. Faculte des Sciences de l'Universite de Sfax, Route de la Soukra km 4-B.P. n 802-3038, Sfax (Tunisia)
2. Departamento de Matematicas, Universidad de Chile, Las Palmeras 3425, Casilla 653, Santiago (Chile)
3. Institute of Mathematics Simion Stoilow of the Romanian Academy, P.O. Box 1-764, Bucharest RO-014700 (Romania)

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

• OSTI ID: 21476546
• Journal Information: Journal of Mathematical Physics, Vol. 51, Issue 8; Other Information: DOI: 10.1063/1.3470118; (c) 2010 American Institute of Physics; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
MAGNETIC FIELDS
NONLINEAR PROBLEMS
QUANTIZATION
QUANTUM MECHANICS
QUANTUM OPERATORS
SCHROEDINGER EQUATION
SPECTRA
DIFFERENTIAL EQUATIONS
EQUATIONS
MATHEMATICAL OPERATORS
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
WAVE EQUATIONS