M Aizenman - Reviews in mathematical physics, 1994 - World Scientific
An elementary proof is given of localization for linear operators H= Ho+ λV, with Ho translation invariant, or periodic, and V (·) a random potential, in energy regimes which for …
The stability of nonlinear waves has a distinguished history and an abundance of richly structured yet accessible examples, which makes it not only an important subject but also an …
During the seven years that elapsed between the first and second editions of the present book, considerable progress was achieved in the area of financial modelling and pricing of …
J Bellissard - Proceedings of the International Congress of …, 1995 - Springer
A mathematical framework based on noncommutative geometry is proposed to describe the Integer Quantum Hall Effect (IQHE). It takes localization effects into account. It permits us to …
Quantum mechanics and the theory of operators on Hilbert space have been deeply linked since their beginnings in the early twentieth century. States of a quantum system correspond …
M Aizenman, S Molchanov - Communications in Mathematical Physics, 1993 - Springer
The work presents a short proof of localization under the conditions of either strong disorder (λ> λ 0) or extreme energies for a wide class of self adjoint operators with random matrix …
This monograph explains the theory of quantum waveguides, that is, dynamics of quantum particles confined to regions in the form of tubes, layers, networks, etc. The focus is on …
A Knoll, A Horvat, KS Lyakhova, G Krausch… - Physical Review Letters, 2002 - APS
We have experimentally determined a phase diagram for cylinder-forming polystyrene-block- polybutadien-block-polystyrene triblock copolymer in thin films. The phase behavior can be …