Research output: Contribution to journal › Article › peer-review
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.
Original language | Russian |
---|---|
Pages (from-to) | 274-281 |
Number of pages | 8 |
Journal | Journal of Mathematical Sciences |
Volume | 178 |
Issue number | 3 |
DOIs | |
State | Published - 1 Oct 2011 |
ID: 51315562