126 citations
7 papers
The influence of ultra-fast laser pulses on electron transfer in molecular wires studied by a non-Markovian density matrix approach
Sven Welack, Michael Schreiber, Ulrich Kleinekathoefer
New features of molecular wires can be observed when they are irradiated by laser fields. These effects can be achieved by periodically oscillating fields but also by short laser p…
Orthocentric simplices and their centers
Allan L. Edmonds, Mowaffaq Hajja, Horst Martini
A simplex is said to be orthocentric if its altitudes intersect in a common point, called its orthocenter. In this paper it is proved that if any two of the traditional centers of…
Real-space renormalization-group approach to the integer quantum Hall effect
Philipp Cain, Rudolf A. Roemer
We review recent results based on an application of the real-space renormalization group (RG) approach to a network model for the integer quantum Hall (QH) transition. We demonstra…
Elliptic operators on planar graphs: Unique continuation for eigenfunctions and nonpositive curvature
S. Klassert, D. Lenz, N. Peyerimhoff +1
This paper is concerned with elliptic operators on plane tessellations. We show that such an operator does not admit a compactly supported eigenfunction, if the combinatorial curva…
Antinorms and Radon curves
Horst Martini, Konrad J. Swanepoel
In this paper we consider two notions that have been discovered and rediscovered by geometers and analysts since 1917 up to the present day: Radon curves and antinorms. A Radon cur…
On the Lipschitz continuity of the integrated density of states for sign-indefinite potentials
Vadim Kostrykin, Ivan Veselic
The present paper is devoted to the study of spectral properties of random Schroedinger operators. Using a finite section method for Toeplitz matrices, we prove a Wegner estimate f…