21 citations · 34 across the 5 of their papers we have counts for
12 papers
Energetic and dynamic properties of a quantum particle in a spatially random magnetic field with constant correlations along one direction
Hajo Leschke, Simone Warzel, Alexandra Weichlein
We consider an electrically charged particle on the Euclidean plane subjected to a perpendicular magnetic field which depends only on one of the two Cartesian co-ordinates. For suc…
Ballistic transport in random magnetic fields with anisotropic long-ranged correlations
Hajo Leschke, Simone Warzel, Alexandra Weichlein
We present exact theoretical results about energetic and dynamic properties of a spinless charged quantum particle on the Euclidean plane subjected to a perpendicular random magnet…
Quantum-classical transitions in Lifshits tails with magnetic fields
Hajo Leschke, Simone Warzel
We consider Lifshits' model of a quantum particle subject to a repulsive Poissonian random potential and address various issues related to the influence of a constant magnetic fiel…
A survey of rigorous results on random Schroedinger operators for amorphous solids
Hajo Leschke, Peter Müller, Simone Warzel
Electronic properties of amorphous or non-crystalline disordered solids are often modelled by one-particle Schroedinger operators with random potentials which are ergodic with resp…
Continuous integral kernels for unbounded Schroedinger semigroups and their spectral projections
Kurt Broderix, Hajo Leschke, Peter Müller
By suitably extending a Feynman-Kac formula of Simon [Canadian Math. Soc. Conf. Proc, 28 (2000), 317-321], we study one-parameter semigroups generated by (the negative of) rather g…
Is the Universe a Quantum System?
Helmut Fink, Hajo Leschke
In order to relate the probabilistic predictions of quantum theory uniquely to measurement results, one has to conceive of an ensemble of identically prepared copies of the quantum…