Absolute continuity of the spectrum of the periodic Schrödinger operator in a layer and in a smooth cylinder

被引：0

作者：

Kachkovskiy I. ^{[1
]}

Filonov N. ^{[1
]}

机构：

[1] St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg

来源：

Journal of Mathematical Sciences | 2011年 / 178卷 / 3期

关键词：

Russia; Real Number; Potential Versus; Mathematical Institute; Spectral Cluster;

D O I：

10.1007/s10958-011-0547-8

中图分类号：

学科分类号：

摘要：

The Schrödinger operator H = -Δ + V is considered in a layer or in a d-dimensional cylinder. The potential V is assumed to be periodic with respect to a lattice. The absolute continuity of H is established, provided that V ∈ Lp,loc, where p is a real number greater than d/2 in the case of a layer and p > max(d/2, d - 2) for a cylinder. Bibliography: 14 titles. © 2011 Springer Science+Business Media, Inc.

引用

页码：274 / 281

页数：7

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