Hölder Continuity of Absolutely Continuous Spectral Measures for One-Frequency Schrödinger Operators
نویسندگان
چکیده
منابع مشابه
The Absolutely Continuous Spectrum of One-dimensional Schrödinger Operators
This paper deals with general structural properties of one-dimensional Schrödinger operators with some absolutely continuous spectrum. The basic result says that the ω limit points of the potential under the shift map are reflectionless on the support of the absolutely continuous part of the spectral measure. This implies an Oracle Theorem for such potentials and DenisovRakhmanov type theorems....
متن کاملAbsolutely continuous spectrum and spectral transition for some continuous random operators
In this paper we consider two classes of random Hamiltonians on L 2(Rd) one that imitates the lattice case and the other a Schrödinger operator with non-decaying, non-sparse potential both of which exhibit a.c. spectrum. In the former case we also know the existence of dense pure point spectrum for some disorder thus exhibiting spectral transition valid for the Bethe lattice and expected for th...
متن کاملAbsolutely Continuous Spectrum of Perturbed Stark Operators
In this paper, we study the stability of the absolutely continuous spectrum of onedimensional Stark operators under various classes of perturbations. Stark Schrödinger operators describe behavior of the charged particle in the constant electric field. The absolutely continuous spectrum is a manifestation of the fact that the particle described by the operator propagates to infinity at a rather ...
متن کاملAbsolutely Continuous Spectrum of Stark Operators
Abstract. We prove several new results on the absolutely continuous spectrum of perturbed one-dimensional Stark operators. First, we find new classes of potentials, characterized mainly by smoothness condition, which preserve purely absolutely continuous spectrum. Then we establish stability of the absolutely continuous spectrum in more general situations, where imbedded singular spectrum may o...
متن کاملAbsolutely Continuous Spectrum of Stark Type Operators
Some new conditions are obtained for the absolutely continuous spectrum of a Stark operator to fill the entire real line. §
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2010
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-010-1147-z