DOI

The purpose of this paper is to prove that the spectrum of an isotropic Maxwell operator with electric permittivity and magnetic permeability that are periodic along certain directions and tending to a constant super-exponentially fast in the remaining directions is purely absolutely continuous. The basic technical tools is a new "operatorial" identity relating the Maxwell operator to a vector-valued Schrödinger operator. The analysis of the spectrum of that operator is then handled as in [3,4].

Язык оригиналаанглийский
Страницы (с-по)75-85
Число страниц11
ЖурналCommunications in Mathematical Physics
Том258
Номер выпуска1
DOI
СостояниеОпубликовано - 1 авг 2005

    Предметные области Scopus

  • Статистическая и нелинейная физика
  • Математическая физика

ID: 50940821