TY - JOUR

T1 - Absolute continuity of the schrödinger operator spectrum in a multidimensional cylinder

AU - Kachkovskiǐ, I.

AU - Filonov, N.

PY - 2010/12/1

Y1 - 2010/12/1

N2 - The Schrödinger operator -Δ+V in a d-dimensional cylinder, d ≥ 3, is considered with various boundary conditions. Under the assumption that the potential V is periodic with respect to the "longitudinal" variables and V € Ld-1,loc, it is proved that the spectrum of the Schrödinger operator is absolutely continuous.

AB - The Schrödinger operator -Δ+V in a d-dimensional cylinder, d ≥ 3, is considered with various boundary conditions. Under the assumption that the potential V is periodic with respect to the "longitudinal" variables and V € Ld-1,loc, it is proved that the spectrum of the Schrödinger operator is absolutely continuous.

KW - Absolute continuity of the spectrum

KW - Periodic coefficients

KW - Schr̈odinger operator

UR - http://www.scopus.com/inward/record.url?scp=84866927028&partnerID=8YFLogxK

U2 - 10.1090/S1061-0022-09-01087-5

DO - 10.1090/S1061-0022-09-01087-5

M3 - статья

AN - SCOPUS:84866927028

VL - 21

SP - 95

EP - 109

JO - St. Petersburg Mathematical Journal

JF - St. Petersburg Mathematical Journal

SN - 1061-0022

IS - 1

ER -