71 citations · 138 across the 9 of their papers we have counts for
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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…
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…
The Density of States and the Spectral Shift Density of Random Schroedinger Operators
Vadim Kostrykin, Robert Schrader
In this article we continue our analysis of Schroedinger operators with a random potential using scattering theory. In particular the theory of Krein's spectral shift function lead…