14 citations · 36 across the 12 of their papers we have counts for
13 papers
Spectral analysis and best decay rate of the wave propagator on the tadpole graph
Kaïs Ammari, Rachid Assel, Mouez Dimassi
We consider the damped wave semigroup on the tadpole graph . We first give a meticulous spectral analysis, followed by a judicious decomposition of the resolvent's ke…
A Gaussian Beam Construction of de Haas-vanAlfven Resonances
Mouez Dimassi, Jean-Claude Guillot, James Ralston
In this article we consider a Bloch electron in a crystal lattice subject to slowy varying external magnetic fields. We offer an explanation of de Haas-van Alfven oscillations in t…
Absence of embedded eigenvalues for Hamiltonian with crossed magnetic and electric fields
Mouez Dimassi, Masaki Kawamoto, Vesselin Petkov
In the presence of the homogeneous electric field and the homogeneous perpendicular magnetic field , the classical trajectory of a quantum particle on ${\mathbb…
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…
Rate of decay of some Petrowsky-like dissipative systems
Kais Ammari, Mouez Dimassi, Maher Zerzeri
In this paper, we show that the fastest decay rate for some Petrowsky-like dissipative systems is given by the supremum of the real part of the spectrum of the infinitesimal genera…
Upper bound for the counting function of interior transmission eigenvalues
Mouez Dimassi, Vesselin Petkov
For the complex interior transmission eigenvalues (ITE) we study for small the counting function $$N(θ, r) = #\{λ\in \C:\: λ\: {\rm is} \: {\rm (ITE)},\: |λ| \leq r, \: 0 \l…