Schrödinger operators with dynamically defined potentials
نویسندگان
چکیده
منابع مشابه
On Schrödinger Operators with Dynamically Defined Potentials
The purpose of this article is to review some of the recent work on the operator (Hxψ)n = −ψn−1 − ψn+1 + λV (Tx)ψn (0.1) on `(Z), where T : X → X is an ergodic transformation on (X, ν) and V is a real-valued function. λ is a real parameter called coupling constant. Typically, X = T = (R/Z) with Lebesgue measure, and V will be a trigonometric polynomial or analytic. We shall focus on the papers ...
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(1.1) (Hxψ)n = −ψn−1 − ψn+1 + λV (T x)ψn on l(Z), where T : X → X is an ergodic transformation on (X, ν) and V is a real-valued function. λ is a real parameter called coupling constant. Typically, X = T = (R/Z) with Lebesgue measure, and V will be a trigonometric polynomial or analytic. We shall focus on the papers [GolSch1] and [GolSch2] by the authors, as well as other work which was obtained...
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ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 2016
ISSN: 0143-3857,1469-4417
DOI: 10.1017/etds.2015.120