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.
C^*-algebra, Schrödinger operator, propagation properties, tree
ATHMOUNI, NASSIM and DAMAK, MONDHER
"On the non-propagation theorem and applications,"
Turkish Journal of Mathematics: Vol. 37:
3, Article 12.
Available at: https://journals.tubitak.gov.tr/math/vol37/iss3/12