We prove the absence of the absolutely continuous spectrum for the operator -d(2)/dx(2) + Sigma(j epsilon Z)alpha delta'(x - j) + fx, > 0 and alpha not equal 0, by means of the crystal momentum representation and the Howland's criterion for Floquet-type operators.
Absence of the absolutely continuous spectrum for Stark-Bloch operators with strongly singular periodic potentials / Maioli, Marco; Sacchetti, Andrea. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL. - ISSN 0305-4470. - STAMPA. - 28:(1995), pp. 1101-1106.
Absence of the absolutely continuous spectrum for Stark-Bloch operators with strongly singular periodic potentials
MAIOLI, Marco;SACCHETTI, Andrea
1995
Abstract
We prove the absence of the absolutely continuous spectrum for the operator -d(2)/dx(2) + Sigma(j epsilon Z)alpha delta'(x - j) + fx, > 0 and alpha not equal 0, by means of the crystal momentum representation and the Howland's criterion for Floquet-type operators.
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