[图书][B] Jacobi operators and completely integrable nonlinear lattices

G Teschl - 2000 - books.google.com
Page 1 Page 2 Selected Titles in This Series http://dx.doi.org/10.1090/surv/072 72 71 70 69 68
67 66 65 64 63 62 61 60 59 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 Gerald Teschl, Jacobi …

Equilibrium measures and capacities in spectral theory

B Simon - arXiv preprint arXiv:0711.2700, 2007 - arxiv.org
This is a comprehensive review of the uses of potential theory in studying the spectral theory
of orthogonal polynomials. Much of the article focuses on the Stahl-Totik theory of regular …

Anomalous transport: a mathematical framework

H Schulz-Baldes, J Bellissard - Reviews in Mathematical Physics, 1998 - World Scientific
We develop a mathematical framework allowing to study anomalous transport in
homogeneous solids. The main tools characterizing the anomalous transport properties are …

[图书][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 …

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 …

On matrix–valued Herglotz functions

F Gesztesy, E Tsekanovskii - Mathematische Nachrichten, 2000 - Wiley Online Library
We provide a comprehensive analysis of matrix–valued Herglotz functions and illustrate
their applications in the spectral theory of self–adjoint Hamiltonian systems including matrix …

On localization in the continuous Anderson-Bernoulli model in higher dimension.

J Bourgain, CE Kenig - Inventiones mathematicae, 2005 - search.ebscohost.com
Discusses localization in the continuous Anderson-Bernoulli model in higher dimension.
Random Schrodinger operator; Display of spectral localization; Establishment of lower …

[图书][B] Caught by disorder: bound states in random media

P Stollmann - 2012 - books.google.com
Disorder is one of the predominant topics in science today. The present text is devoted to the
mathematical studyofsome particular cases ofdisordered systems. It deals with waves in …

[PDF][PDF] Quantum dynamics and decompositions of singular continuous spectra

Y Last - Journal of Functional Analysis, 1996 - Citeseer
Quantum Dynamics and Decompositions of Singular Continuous Spectra Page 1 July 5, 1995
Quantum Dynamics and Decompositions of Singular Continuous Spectra Y. Last Division of …

[图书][B] Intermediate spectral theory and quantum dynamics

CR De Oliveira - 2008 - books.google.com
The spectral theory of linear operators plays a key role in the mathematical formulation of
quantum theory. This textbook provides a concise and comprehensible introduction to the …