Spectral and Propagation Results for Magnetic Schroedinger Operators; a C*-Algebraic Framework

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dc.creatorMantoiu, Marius
dc.creatorPurice, Radu
dc.creatorRichard, Serge
dc.date2005-03-02
dc.date.accessioned2026-07-07T05:17:37Z
dc.date.available2026-07-07T05:17:37Z
dc.descriptionWe study generalised magnetic Schroedinger operators of the form H(A,V)=h(P^A)+V, where h is an elliptic symbol, P^A is the generator of the magnetic translations, with A a vector potential defining a variable magnetic field B, and V is a scalar potential. We are mainly interested in anisotropic functions B and V. The first step is to show that these operators are affiliated to suitable C*-algebras of (magnetic) pseudodifferential operators. A study of the quotient of these C*-algebras by the ideal of compact operators leads to formulae for the essential spectrum of H(A,V), expressed as a union of spectra of some asymptotic operators, supported by the quasi-orbits of a suitable dynamical system. The quotient of the same C*-algebras by other ideals give localization results on the functional calculus of the operators H(A,V), which can be interpreted as non-propagation properties of their unitary groups.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/math/0503046
dc.identifierhttp://arxiv.org/abs/math/0503046
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74370
dc.subjectSpectral Theory
dc.subjectMathematical Physics
dc.subject35P05, 35S05, 46L55, 46L60, 47A10, 47A60, 47G30, 47L65, 81R15, 81Q10
dc.titleSpectral and Propagation Results for Magnetic Schroedinger Operators; a C*-Algebraic Framework
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