Localizations at infinity and essential spectrum of quantum Hamiltonians: I. General theory
Mathematical Physics
2012-01-13 v2 math.MP
Spectral Theory
Abstract
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.
Keywords
Cite
@article{arxiv.math-ph/0506051,
title = {Localizations at infinity and essential spectrum of quantum Hamiltonians: I. General theory},
author = {Vladimir Georgescu and Andrei Iftimovici},
journal= {arXiv preprint arXiv:math-ph/0506051},
year = {2012}
}
Comments
63 pages. This is the published version with several corrections