Standard

Absolutely continuous spectrum for the isotropic maxwell operator with coefficients that are periodic in some directions and decay in others. / Filonov, N.; Klopp, F.

в: Communications in Mathematical Physics, Том 258, № 1, 01.08.2005, стр. 75-85.

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Harvard

Filonov, N & Klopp, F 2005, 'Absolutely continuous spectrum for the isotropic maxwell operator with coefficients that are periodic in some directions and decay in others', Communications in Mathematical Physics, Том. 258, № 1, стр. 75-85. https://doi.org/10.1007/s00220-005-1303-z

APA

Filonov, N., & Klopp, F. (2005). Absolutely continuous spectrum for the isotropic maxwell operator with coefficients that are periodic in some directions and decay in others. Communications in Mathematical Physics, 258(1), 75-85. https://doi.org/10.1007/s00220-005-1303-z

Vancouver

Filonov N, Klopp F. Absolutely continuous spectrum for the isotropic maxwell operator with coefficients that are periodic in some directions and decay in others. Communications in Mathematical Physics. 2005 Авг. 1;258(1):75-85. https://doi.org/10.1007/s00220-005-1303-z

Author

Filonov, N. ; Klopp, F. / Absolutely continuous spectrum for the isotropic maxwell operator with coefficients that are periodic in some directions and decay in others. в: Communications in Mathematical Physics. 2005 ; Том 258, № 1. стр. 75-85.

BibTeX

@article{e2d8936e4a96429cb9fdcd3fedcfb8db,
title = "Absolutely continuous spectrum for the isotropic maxwell operator with coefficients that are periodic in some directions and decay in others",
abstract = "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 Schr{\"o}dinger operator. The analysis of the spectrum of that operator is then handled as in [3,4].",
author = "N. Filonov and F. Klopp",
year = "2005",
month = aug,
day = "1",
doi = "10.1007/s00220-005-1303-z",
language = "English",
volume = "258",
pages = "75--85",
journal = "Communications in Mathematical Physics",
issn = "0010-3616",
publisher = "Springer Nature",
number = "1",

}

RIS

TY - JOUR

T1 - Absolutely continuous spectrum for the isotropic maxwell operator with coefficients that are periodic in some directions and decay in others

AU - Filonov, N.

AU - Klopp, F.

PY - 2005/8/1

Y1 - 2005/8/1

N2 - 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].

AB - 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].

UR - http://www.scopus.com/inward/record.url?scp=20644452038&partnerID=8YFLogxK

U2 - 10.1007/s00220-005-1303-z

DO - 10.1007/s00220-005-1303-z

M3 - Article

AN - SCOPUS:20644452038

VL - 258

SP - 75

EP - 85

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 1

ER -

ID: 50940821