8 citations · 11 across the 4 of their papers we have counts for
4 papers
Dynamical self-averaging for a lattice Schrödinger equation with weak random potential
Maximilian Butz
We study the kinetic, weak coupling limit of the dynamics governed by a discrete random Schrödinger operator on . For sequences of -b…
Existence of a unique strong solution to the DMPK equation
Maximilian Butz
For the transmission of electrons in a weakly disordered strip of material Dorokhov, Mello, Pereyra and Kumar (DMPK) proposed a diffusion process for the transfer matrices. The cor…
Disordered quantum wires: microscopic origins of the DMPK theory and Ohm's law
Sven Bachmann, Maximilian Butz, Wojciech De Roeck
We study the electronic transport properties of the Anderson model on a strip, modeling a quasi one-dimensional disordered quantum wire. In the literature, the standard description…
Dynamical phase transition for a quantum particle source
Maximilian Butz, Herbert Spohn
We analyze the time evolution describing a quantum source for noninteracting particles, either bosons or fermions. The growth behaviour of the particle number (trace of the density…