71 citations · 108 across the 5 of their papers we have counts for
15 papers
Perturbative test of single parameter scaling for 1D random media
R. Schrader, H. Schulz-Baldes, A. Sedrakyan
Products of random matrices associated to one-dimensional random media satisfy a central limit theorem assuring convergence to a gaussian centered at the Lyapunov exponent. The hyp…
Generating Functions of Random Walks on Graphs
Vadim Kostrykin, Robert Schrader
The article provides an explicit algebraic expression for the generating function of walks on graphs. Its proof is based on the scattering theory for the differential Laplace opera…
A Random Necklace Model
Vadim Kostrykin, Robert Schrader
We consider a Laplace operator on a random graph consisting of infinitely many loops joined symmetrically by intervals of unit length. The arc lengths of the loops are considered t…
Quantum wires with magnetic fluxes
Vadim Kostrykin, Robert Schrader
In the present article magnetic Laplacians on a graph are analyzed. We provide a complete description of the set of all operators which can be obtained from a given self-adjoint La…
Perturbation Theory for the Quantum Time-Evolution in Rotating Potentials
Volker Enss, Vadim Kostrykin, Robert Schrader
The quantum mechanical time-evolution is studied for a particle under the influence of an explicitly time-dependent rotating potential. We discuss the existence of the propagator a…
Energy Transfer in Scattering by Rotating Potentials
Volker Enss, Vadim Kostrykin, Robert Schrader
Quantum mechanical scattering theory is studied for time-dependent Schroedinger operators, in particular for particles in a rotating potential. Under various assumptions about the…