For a class of random Schrodinger operators in L2(R(d)) H(omega) = -DELTA + SIGMA(j is-an-element-of Z(d)) q(j)(omega) f(x - j) where q(j) are continuous independent identically distributed bounded random variables and f has a power decay and defined sign, in any energy interval the singular continuous spectrum is either empty or with positive Lebesgue measure. As a consequence, the proof of localization for a class of random but deterministic one-dimensional operators is shifted to showing that the singular continuous spectrum has null Lebesgue measure
We present a new example of a potential such that the corresponding Schrodinger operator in the half...
By presenting simple theorems for the absence of positive eigenvalues for certain one-dimensional Sc...
We discuss the Schroedinger operator with singular perturbations given by operators which act in the...
For a class of random Schrodinger operators in L2(R(d)) H(omega) = -DELTA + SIGMA(j is-an-element-of...
AbstractFor a class of random Schrödinger operators in L2(Rd where qj are continuous independent ide...
In this thesis we will prove various types of localization for some classes of one-dimensionalrandom...
AbstractWe prove the existence with probability one of an interval of pure point spectrum for some f...
Spectral and dynamical properties of some one-dimensional continuous Schrodinger and Dirac operators...
We prove pure point spectrum with exponentially decaying eigenfunctions at all band edges for Schrod...
AbstractWe prove sufficient conditions involving only potential asymptotic near one of the infinitie...
We investigate spectral properties of random Schrödinger operators H_ω = - Δ + ξ_n(ω)(1 + │n│^ɑ) act...
This thesis studies random Schroedinger operators with connections to group theory and models from s...
We consider discrete one-dimensional Schrödinger operators with minimally ergodic, aperiodic potenti...
We study effects of a bounded and compactly supported perturbation on multidimensional continuum ran...
Abstract. A tree-strip of finite cone type is the product of a tree of finite cone type with a finit...
We present a new example of a potential such that the corresponding Schrodinger operator in the half...
By presenting simple theorems for the absence of positive eigenvalues for certain one-dimensional Sc...
We discuss the Schroedinger operator with singular perturbations given by operators which act in the...
For a class of random Schrodinger operators in L2(R(d)) H(omega) = -DELTA + SIGMA(j is-an-element-of...
AbstractFor a class of random Schrödinger operators in L2(Rd where qj are continuous independent ide...
In this thesis we will prove various types of localization for some classes of one-dimensionalrandom...
AbstractWe prove the existence with probability one of an interval of pure point spectrum for some f...
Spectral and dynamical properties of some one-dimensional continuous Schrodinger and Dirac operators...
We prove pure point spectrum with exponentially decaying eigenfunctions at all band edges for Schrod...
AbstractWe prove sufficient conditions involving only potential asymptotic near one of the infinitie...
We investigate spectral properties of random Schrödinger operators H_ω = - Δ + ξ_n(ω)(1 + │n│^ɑ) act...
This thesis studies random Schroedinger operators with connections to group theory and models from s...
We consider discrete one-dimensional Schrödinger operators with minimally ergodic, aperiodic potenti...
We study effects of a bounded and compactly supported perturbation on multidimensional continuum ran...
Abstract. A tree-strip of finite cone type is the product of a tree of finite cone type with a finit...
We present a new example of a potential such that the corresponding Schrodinger operator in the half...
By presenting simple theorems for the absence of positive eigenvalues for certain one-dimensional Sc...
We discuss the Schroedinger operator with singular perturbations given by operators which act in the...