14 citations · 15 across the 3 of their papers we have counts for
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math-ph2004
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…
math-ph2003★ 14 cited
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.
math-ph2002★ 1 cited
On the difference equations with periodic coefficients
Vladimir Buslaev, Alexander Fedotov
In this paper, we study entire solutions of the difference equation , , . In this equation, is a fixed positive paramet…