title: Ballistic localization in quasi-one-dimensional waveguides with rough surfaces.
abstract: Structure of eigenstates in a periodic quasi-one-dimensional waveguide with a rough surface is studied both analytically and numerically. We have found a large number of "regular" eigenstates for any high energy. They result in a very slow convergence to the classical limit in which the eigenstates are expected to be completely ergodic. As a consequence, localization properties of eigenstates originated from unperturbed transverse channels with low indexes are strongly localized (delocalized) in the momentum (coordinate) representation. These eigenstates were found to have a quite unexpected form that manifests a kind of "repulsion" from the rough surface. Our results indicate that standard statistical approaches for ballistic localization in such waveguides seem to be inappropriate.
authors.affiliation: Instituto de Física, Universidad Autónoma de Puebla, Apartado Postal J-48, Puebla 72570, Mexico.
authors.forename: F M
authors.initials: FM
authors.lastname: Izrailev
authors.forename: J A
authors.initials: JA
authors.lastname: Méndez-Bermúdez
authors.forename: G A
authors.initials: GA
authors.lastname: Luna-Acosta