21 citations · 34 across the 5 of their papers we have counts for
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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…
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…
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…
The multiformity of Lifshits tails caused by random Landau Hamiltonians with repulsive impurity potentials of different decay at infinity
Thomas Hupfer, Hajo Leschke, Simone Warzel
For a charged quantum particle in the Euclidean plane subject to a perpendicular constant magnetic field and repulsive impurities, randomly distributed according to Poisson's law,…
Continuity properties of Schrödinger semigroups with magnetic fields
Kurt Broderix, Dirk Hundertmark, Hajo Leschke
The objects of the present study are one-parameter semigroups generated by Schrödinger operators with fairly general electromagnetic potentials. More precisely, we allow scalar pot…