Absence of the absolutely continuous spectrum for Stark-Bloch operators with strongly singular periodic potentials
- 21 February 1995
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 28 (4) , 1101-1106
- https://doi.org/10.1088/0305-4470/28/4/030
Abstract
We prove the absence of the absolutely continuous spectrum for the operator -(d2/dx2)+ Sigma j epsilon z alpha delta '(x-j)+fx, f>0 and alpha not=0 by means of the crystal momentum representation and the Howland's criterion for Floquet-type operators.Keywords
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