71 citations · 188 across the 19 of their papers we have counts for
27 papers
Concentration of Quasimodes for Perturbed Harmonic Oscillators
Víctor Arnaiz, Fabricio Macià
In this work, concentration properties of quasimodes for perturbed semiclassical harmonic oscillators are studied. The starting point of this research comes from the fact that, in…
The Born approximation in the three-dimensional Calderón problem II: Numerical reconstruction in the radial case
Juan A. Barceló, Carlos Castro, Fabricio Macià +1
In this work we illustrate a number of properties of the Born approximation in the three-dimensional Calderón inverse conductivity problem by numerical experiments. The results are…
The Born approximation in the three-dimensional Calderón problem
Juan A. Barceló, Carlos Castro, Fabricio Macià +1
Uniqueness and reconstruction in the three-dimensional Calderón inverse conductivity problem can be reduced to the study of the inverse boundary problem for Schrödinger operators $…
Observability results related to fractional Schrödinger operators
Fabricio Macià
We establish observability inequalities for various problems involving fractional Schrödinger operators , , on a compact Riemannian manifold. Observability from…
Effective mass theorems with Bloch modes crossings
Victor Chabu, Clotilde Fermanian Kammerer, Fabricio Macià
We study a Schr{ö}dinger equation modeling the dynamics of an electron in a crystal in the asymptotic regime of small wavelength comparable to the characteristic scale of the cryst…
Localization and delocalization of eigenmodes of Harmonic Oscillators
Víctor Arnaiz, Fabricio Macià
We characterize quantum limits and semi-classical measures corresponding to sequences of eigenfunctions for systems of coupled quantum harmonic oscillators with arbitrary frequenci…