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math.SP2020
An example of resonance instability
Jean-Francois Bony, Setsuro Fujiie, Thierry Ramond +1
We construct a semiclassical Schrödinger operator such that the imaginary part of its resonances closest to the real axis changes by a term of size when a real compactly suppor…
math.SP2011★ 3 cited
Spectral shift function for perturbed periodic Schroedinger operators. The large-coupling constant limit case
Mouez Dimassi, Maher Zerzeri
In the large coupling constant limit, we obtain an asymptotic expansion in powers of of the derivative of the spectral shift function corresponding to the pair $\b…
math.SP2011
Spectral shift function for slowly varying perturbation of periodic Schroedinger operators
Mouez Dimassi, Maher Zerzeri
In this paper we study the asymptotic expansion of the spectral shift function for the slowly varying perturbations of periodic Schrödinger operators. We give a weak and pointwise…