Günter Stolz
University of Alabama at Birmingham
125 Papers
746 Citations
Günter Stolz is an academic researcher from University of Alabama at Birmingham. The author has contributed to research in topics: Spectrum (functional analysis) & Hamiltonian (quantum mechanics). The author has an hindex of 31, co-authored 124 publications. Previous affiliations of Günter Stolz include University of Alabama & Goethe University Frankfurt.
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Papers
Delocalization in Random Polymer Models
TL;DR: In this paper, it was shown that the Lyapunov exponent vanishes quadratically at a generic critical energy and that the density of states is positive there, and the level spacing is shown to be regular at the critical energy.
157
Dynamical Localization in Disordered Quantum Spin Systems
TL;DR: In this paper, it was shown that a quantum spin system is dynamically localized if the time evolution of local observables satisfies a zero-velocity Lieb-Robinson bound.
125
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An Introduction to the Mathematics of Anderson Localization
TL;DR: In this paper, the authors give a self-contained introduction to the mathematical theory of the Anderson model and prove localization properties of the model based on the fractional moments (or Aizenman-Molchanov) method.
115
Delocalization in random polymer models
TL;DR: In this article, it was shown that the Lyapunov exponent vanishes quadratically at a generic critical energy and that the density of states is positive there, and the level spacing is shown to be regular at the critical energy.
100
Moment Analysis for Localization in Random Schroedinger Operators
TL;DR: In this article, the authors studied the spectral and dynamical properties of Schroedinger operators with random potentials, including exponentially decaying bounds on the transition amplitude and related projection kernels, including in the mean.
93