On the non-propagation theorem and applications

Authors: NASSIM ATHMOUNI, MONDHER DAMAK

Abstract: We use C^*-algebras to determine the non-propagation estimates for a certain class of generalized Schrödinger operators acting on the Hilbert space \ell^2(\Gamma), where \Gamma is a tree, and we give some examples for other classes of potentials.

Keywords: C^*-algebra, Schrödinger operator, propagation properties, tree

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