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20012004
most citedClassical magnetic Lifshits tails in three space dimensions: impurity potentials with slow anisotropic decay

7 citations · 9 across the 3 of their papers we have counts for

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math-ph20041 cited

Anderson Localization and Lifshits Tails for Random Surface Potentials

Werner Kirsch, Simone Warzel

We consider Schrödinger operators on with a random potential concentrated near the surface . We prove that the integrated density of stat…

math-ph20031 cited

Lifshits tails caused by anisotropic decay: the emergence of a quantum-classical regime

Werner Kirsch, Simone Warzel

We investigate Lifshits-tail behaviour of the integrated density of states for a wide class of Schrödinger operators with positive random potentials. The setting includes alloy-typ…

math-ph20027 cited

Classical magnetic Lifshits tails in three space dimensions: impurity potentials with slow anisotropic decay

Dirk Hundertmark, Werner Kirsch, Simone Warzel

We determine the leading low-energy fall-off of the integrated density of states of a magnetic Schroedinger operator with repulsive Poissonian random potential in case its single i…

math-ph2002

Existence of the density of states for one-dimensional alloy-type potentials with small support

Werner Kirsch, Ivan Veselic'

We study spectral properties of Schrödinger operators with random potentials of alloy type on $L^2(\RR)$ and their restrictions to finite intervals. A Wegner estimate for non-negat…

math-ph2001

Approach to Equilibrium for a Forced Burgers Equation

W. Kirsch, B. Simon

We show that approach to equilibrium in certain forced Burgers equations is implied by a decay estimate on a suitable intrinsic semigroup estimate, and we verify this estimate in a…