27 citations · 60 across the 5 of their papers we have counts for
5 papers
Spectral Localization by Gaussian Random Potentials in Multi-Dimensional Continuous Space
Werner Fischer, Hajo Leschke, Peter Mueller
A detailed mathematical proof is given that the energy spectrum of a non-relativistic quantum particle in multi-dimensional Euclidean space under the influence of suitable random p…
Dynamical properties of random Schrödinger operators
Jean-Marie Barbaroux, Werner Fischer, Peter Müller
We study dynamical properties of random Schrödinger operators defined on the Hilbert space or . Building on results from existing multi-scal…
On the averaged quantum dynamics by white-noise Hamiltonians with and without dissipation
Werner Fischer, Hajo Leschke, Peter Mueller
Exact results are derived on the averaged dynamics of a class of random quantum-dynamical systems in continuous space. Each member of the class is characterized by a Hamiltonian wh…
Rigorous results on Schroedinger operators with certain Gaussian random potentials in multi-dimensional continuous space
Werner Fischer, Thomas Hupfer, Hajo Leschke +1
Schroedinger operators with certain Gaussian random potentials in multi-dimensional Euclidean space possess almost surely an absolutely continuous integrated density of states and…
Dynamics by White-Noise Hamiltonians
Werner Fischer, Hajo Leschke, Peter Mu"ller
A new class of random quantum--dynamical systems in continuous space is introduced and studied in some detail. Each member of the class is characterized by a Hamiltonian which is t…