02-244 Marius Mantoiu, Radu Purice

The Algebra of Observables in a Magnetic Field (165K, Postscript) May 28, 02

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Abstract. We shall introduce a $C^*$-algebra containig the functional calculus of a large class of Schroedinger operators with variable magnetic fields. This is motivated by some recent operator algebraic methods for analyzing the essential spectrum and the regions of non-propagation and in the same time by the interest of elaborating a gauge-invariant pseudodifferential calculus in the presence of a variable magnetic field. Our results concerning the affiliation of the magnetic Laplacian to the mentioned $C^*$-algebra are the main technical ingredients for the type of developments mentioned above.

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