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.
Original language | Russian |
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Pages (from-to) | 95-109 |
Number of pages | 15 |
Journal | St. Petersburg Mathematical Journal |
Volume | 21 |
Issue number | 1 |
DOIs | |
State | Published - 1 Dec 2010 |
Externally published | Yes |
ID: 51315502