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[ספר][B] Random operators
M Aizenman, S Warzel - 2015 - books.google.com
This book provides an introduction to the mathematical theory of disorder effects on quantum
spectra and dynamics. Topics covered range from the basic theory of spectra and dynamics …
spectra and dynamics. Topics covered range from the basic theory of spectra and dynamics …
An invitation to random Schrödinger operators
W Kirsch - arxiv preprint arxiv:0709.3707, 2007 - arxiv.org
This review is an extended version of my mini course at the Etats de la recherche:
Operateurs de Schroedinger aleatoires at the Universite Paris 13 in June 2002, a summer …
Operateurs de Schroedinger aleatoires at the Universite Paris 13 in June 2002, a summer …
A comprehensive proof of localization for continuous Anderson models with singular random potentials
Abstract We study continuous Anderson Hamiltonians with non-degenerate single site
probability distribution of bounded support, without any regularity condition on the single site …
probability distribution of bounded support, without any regularity condition on the single site …
Localization for random quasi-one-dimensional models
H Boumaza - Journal of Mathematical Physics, 2023 - pubs.aip.org
ABSTRACT In this Review Article, we review the results of Anderson localization for different
random families of operators that enter the framework of random quasi-one-dimensional …
random families of operators that enter the framework of random quasi-one-dimensional …
An optimal Wegner estimate and its application to the global continuity of the integrated density of states for random Schrödinger operators
JM Combes, PD Hislop, F Klopp - 2007 - projecteuclid.org
We prove that the integrated density of states (IDS) of random Schrödinger operators with
Anderson-type potentials on L 2 (R d) for d≥ 1 is locally Hölder continuous at all energies …
Anderson-type potentials on L 2 (R d) for d≥ 1 is locally Hölder continuous at all energies …
A characterization of the Anderson metal-insulator transport transition
F Germinet, A Klein - 2004 - projecteuclid.org
We investigate the Anderson metal-insulator transition for random Schrödinger operators.
We define the strong insulator region to be the part of the spectrum where the random …
We define the strong insulator region to be the part of the spectrum where the random …
[ספר][B] Existence and regularity properties of the integrated density of states of random Schrödinger operators
I Veselić - 2008 - Springer
Random Schrödinger operators are models for the quantum mechanical description of
disordered media. The main aim of the analysis of such models is the understanding of the …
disordered media. The main aim of the analysis of such models is the understanding of the …
Recent developments in quantum mechanics with magnetic fields
L Erdos - arxiv preprint math-ph/0510055, 2005 - arxiv.org
arxiv:math-ph/0510055v2 2 Nov 2005 Recent developments in quantum mechanics with
magnetic fields Page 1 arxiv:math-ph/0510055v2 2 Nov 2005 Recent developments in …
magnetic fields Page 1 arxiv:math-ph/0510055v2 2 Nov 2005 Recent developments in …
Computing spectral properties of topological insulators without artificial truncation or supercell approximation
Topological insulators (TIs) are renowned for their remarkable electronic properties:
quantized bulk Hall and edge conductivities, and robust edge wave-packet propagation …
quantized bulk Hall and edge conductivities, and robust edge wave-packet propagation …
Large-scale geometry obstructs localization
We explain the coarse geometric origin of the fact that certain spectral subspaces of
topological insulator Hamiltonians are delocalized, in the sense that they cannot admit an …
topological insulator Hamiltonians are delocalized, in the sense that they cannot admit an …