2 papers
math.SP2025
On the singularities of the spectral shift function for some tight-binding models
Marouane Assal, Olivier Bourget, Diomba Sambou +1
We consider perturbed discrete tight-binding models in describing union of quantum particles with localized interactions, where is…
math-ph2025
Clusters of resonances for a non-selfadjoint multichannel discrete Schrödinger operator
Marouane Assal, Olivier Bourget, Pablo Miranda +1
We study the distribution of resonances for discrete Hamiltonians of the form near the thresholds of the spectrum of . Here, the unperturbed operator is a multic…