The absence of the absolutely continuous spectrum for δ ′ Wannier–Stark ladders
- 1 September 1995
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 36 (9) , 4561-4570
- https://doi.org/10.1063/1.530908
Abstract
A modification of the Kronig–Penney model consisting of equidistantly spaced δ ′ interactions is considered. We prove that an absolutely continuous spectrum of such a system disappears under the influence of an external electric field. The result extends to periodic lattices of nonidentical δ ′ interactions and potentials which are lower unbounded and, up to a bounded term, asymptotically decreasing with bounded first two derivatives.This publication has 11 references indexed in Scilit:
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