1 citations · 1 across the 8 of their papers we have counts for
9 papers
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…
Transition of the semiclassical resonance widths across a tangential crossing energy-level
Marouane Assal, Setsuro fujiie, Kenta Higuchi
We consider a 1D matrix-valued operator \eqref{System0} with two semiclassical Schrödinger operators on the diagonal entries and small interactions on the off-diagonal…
Semiclassical resonance asymptotics for systems with degenerate crossings of classical trajectories
Marouane Assal, Setsuro Fujiié, Kenta Higuchi
This paper is concerned with the asymptotics of resonances in the semiclassical limit for matrix Schrödinger operators in one dimension. We study the case wh…
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…
Metastable diffusions with degenerate drifts
Marouane Assal, Jean-Francois Bony, Laurent Michel
We study the spectrum of the semiclassical Witten Laplacian associated to a smooth function on . We assume that is a confining Morse--Bott function.…
Resolvent estimates and resonance free domains for Schrödinger operators with matrix-valued potentials
Marouane Assal
We establish semiclassical resolvent estimates for Schrödinger operators with long-range matrix-valued potentials. As an application we prove resonance free domains both in trappin…
Eigenvalue splitting for a system of Schrödinger operators with an energy-level crossing
Marouane Assal, Setsuro Fujiié
We study the asymptotic distribution of the eigenvalues of a one-dimensional two-by-two semiclassical system of coupled Schrödinger operators in the presence of two potential wells…
Semiclassical Trace Formula and Spectral Shift Function for Systems via a Stationary Approach
Marouane Assal, Mouez Dimassi, Setsuro Fujiié
We establish a semiclassical trace formula in a general framework of microhyperbolic hermitian systems of -pseudodifferential operators, and apply it to the study of the spectra…
Long time semiclassical Egorov theorem for -pseudodifferential systems
Marouane Assal
In the Heisenberg picture, we study the semiclassical time evolution of a bounded quantum observable associated to a matrix-valued symbol gener…