32 citations · 257 across the 39 of their papers we have counts for
45 papers
On the spatial extent of localized eigenfunctions for random Schrödinger operators
Frédéric Klopp, Jeffrey Schenker
The present paper is devoted to new, improved bounds for the eigenfunctions of random operators in the localized regime. We prove that, in the localized regime with good probabilit…
WKB asymptotics of meromorphic solutions of difference equations
Alexander Fedotov, Frédéric Klopp
We consider the difference Schr{\''o}dinger equation where is a complex variable and is a small positive parameter. If is an analytic functi…
The complex WKB method for difference equations and Airy functions
Frédéric Klopp, Alexander Fedotov
We consider the difference Schr{ö}dinger equation (z + h) + (z -- h) + v(z)(z) = 0 where z is a complex variable, h > 0 is a parameter, and v is an analytic function. As h…
Semiclassical resolvent estimates for bounded potentials
Frédéric Klopp, Martin Vogel
We study the cut-off resolvent of semiclassical Schr{ö}dinger operators on with bounded compactly supported potentials . We prove that for real energies in…
Stark-Wannier Ladders and Cubic Exponential Sums
Alexander Fedotov, Frédéric Klopp
On L 2 (R), we consider the Schrödinger operator (1.1) H ǫ = -- 2 x 2 + v(x) -- ǫx, where v is a real analytic 1-periodic function and ǫ is a positive constant…
Interacting electrons in a random medium: a simple one-dimensional model
Frédéric Klopp, Nikolaj Veniaminov
The present paper is devoted to the study of a simple model of interacting electrons in a random background. In a large interval , we consider one dimensional particles whos…