Localizations at infinity and essential spectrum of quantum Hamiltonians: I. General theory

Vladimir Georgescu, Andrei Iftimovici

Published 2005-06-20, updated 2012-01-12Version 2

We isolate a large class of self-adjoint operators H whose essential spectrum is determined by their behavior at large x and we give a canonical representation of their essential spectrum in terms of spectra of limits at infinity of translations of H. The configuration space is an arbitrary abelian locally compact not compact group.