منابع مشابه
Absolutely 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 کاملWiener - Hopf Operators and Absolutely Continuous Spectra
CONTINUOUS SPECTRA. II BY C. R. PUTNAM Communicated by Maurice Heins, November 1, 1967 1. This paper is a continuation of [4]. It may be recalled that if A is a self-adjoint operator on a Hubert space § with spectral resolution A=zf\dE\, then the set of elements x in § for which ||-Ex#|| is an absolutely continuous function of X is a subspace, &a(A), of § (see, e.g., Halmos [l, p. 104]). The op...
متن کاملThe 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....
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ژورنال
عنوان ژورنال: Publications of the Research Institute for Mathematical Sciences
سال: 1985
ISSN: 0034-5318
DOI: 10.2977/prims/1195179628