Localizations at infinity and essential spectrum of quantum Hamiltonians: I. General theory
Georgescu, Vladimir ; Iftimovici, Andrei
arXiv, 0506051 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2005-06-20
Classification:  Mathematical Physics,  Mathematics - Spectral Theory,  47A10, 81Q10 (Primary) 46L60, 46N50, 47L65, 47L90, 47L80 (Secondary) 
@article{0506051,
     author = {Georgescu, Vladimir and Iftimovici, Andrei},
     title = {Localizations at infinity and essential spectrum of quantum
  Hamiltonians: I. General theory},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0506051}
}

Georgescu, Vladimir; Iftimovici, Andrei. Localizations at infinity and essential spectrum of quantum
  Hamiltonians: I. General theory. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0506051/