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math.AP2024
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…
math-ph2024
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…