14 citations · 21 across the 5 of their papers we have counts for
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Weakly resonant tunneling interactions for adiabatic quasi-periodic Schrodinger operators
Alexander Fedotov, Frederic Klopp
In this paper, we study spectral properties of the one dimensional periodic Schrodinger operator with an adiabatic quasi-periodic perturbation. We show that in certain energy regio…
Absolute continuity of the spectrum of a Schrodinger operator with a potential which is periodic in some directions and decays in others
Nikolai Filonov, Frederic Klopp
We prove that the spectrum of a Schrodinger operator that is periodic in certain directions and super-exponentially decaying in the others is purely absolutely continuous.
The integrated density of states for an interacting multielectron homogeneous model
Frederic Klopp, Heribert Zenk
For a system of n interacting electrons moving in the background of a "homogeneous" potential, we show that, if the single electron Hamiltonian admits a density of states, so does…
Geometric tools of the adiabatic complex WKB method
Alexander Fedotov, Frederic Klopp
The paper is devoted to the description of the main geometric and analytic tools of a complex WKB method for adiabatic problem. We illustrate their use by numerous examples.
Mathematical analysis of the photoelectric effect
Volker Bach, Frederic Klopp, Heribert Zenk
We study the photoelectric effect on the example of a simplified model of an atom with a single bound state, coupled to the quantized electromagnetic field. For this model, we show…