ABSOLUTELY CONTINUOUS SPECTRUM FOR SINGULAR STARK HAMILTONIANS-Reference-Cited by-同舟云学术

ABSOLUTELY CONTINUOUS SPECTRUM FOR SINGULAR STARK HAMILTONIANS

Published:2001-05 Issue:05 Volume:13 Page:587-599
ISSN:0129-055X
Container-title:Reviews in Mathematical Physics
language:en
Short-container-title:Rev. Math. Phys.

Author:

BRIET P.¹

Affiliation:

1. Centre de Physique Théorique, Campus of Luminy, Case 907, F-13288 Marseille, Cedex 9, France

Abstract

In this paper, we consider Stark operators perturbed by some bounded potentials. We prove that these operators are purely absolutely continuous (A-C) on some Borel subset S of R. We apply these results when the perturbation is piecewise smooth, in this case we show that the A-C spectrum is the whole real line.

Publisher

World Scientific Pub Co Pte Lt

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129055X0100082X

Reference15 articles.

1. Absence of localization in energy space of a Bloch electron driven by a constant electric force

2. Lower bounds on the width of Stark-Wannier type resonances

3. Absolutely continuous spectrum of perturbed Stark operators

4. Point spectrum on a continuous spectrum for weakly perturbed Stark type operators

5. Propagation Theorems for Some Classes of Pseudo-Differential Operators

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