71 citations · 138 across the 9 of their papers we have counts for
6 papers · 1 filter
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…
On the existence of solutions to the operator Riccati equation and the tanΘtheorem
Vadim Kostrykin, Konstantin A. Makarov, Alexander K. Motovilov
Let A and C be self-adjoint operators such that the spectrum of A lies in a gap of the spectrum of C and let d>0 be the distance between the spectra of A and C. We prove that under…
Existence and uniqueness of solutions to the operator Riccati equation. A geometric approach
Vadim Kostrykin, Konstantin A. Makarov, Alexander K. Motovilov
We introduce a new concept of unbounded solutions to the operator Riccati equation and give a complete description of its solutions associated…
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…
On a Subspace Perturbation Problem
Vadim Kostrykin, Konstantin A. Makarov, Alexander K. Motovilov
We discuss the problem of perturbation of spectral subspaces for linear self-adjoint operators on a separable Hilbert space. Let and be bounded self-adjoint operators. Assu…
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…