110 citations · 613 across the 36 of their papers we have counts for
Showing 2015Show all
3 papers · 1 filter
nlin.PS2015★ 37 cited
Stationary waves on nonlinear quantum graphs: General framework and canonical perturbation theory
Sven Gnutzmann, Daniel Waltner
In this paper we present a general framework for solving the stationary nonlinear Schrödinger equation (NLSE) on a network of one-dimensional wires modelled by a metric graph with…
math.ST2015★ 10 cited
The Correlated Jacobi and the Correlated Cauchy-Lorentz ensembles
Tim Wirtz, Daniel Waltner, Mario Kieburg +1
We calculate the -point generating function of the correlated Jacobi ensemble using supersymmetric methods. We use the result for complex matrices for to derive a closed-f…
nlin.CD2015★ 1 cited
Non-adiabatic quantum pumping by a randomly moving quantum dot
Stanislav Derevyanko, Daniel Waltner
We look at the time dependent fluctuations of the electrical charge in an open 1D quantum system represented by a quantum dot experiencing random lateral motion. In essentially non…