Research output: Contribution to journal › Article › peer-review
Absolutely continuous spectrum for the isotropic maxwell operator with coefficients that are periodic in some directions and decay in others. / Filonov, N.; Klopp, F.
In: Communications in Mathematical Physics, Vol. 258, No. 1, 01.08.2005, p. 75-85.Research output: Contribution to journal › Article › peer-review
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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