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math.AP2012
On spectral stability of the nonlinear Dirac equation
Nabile Boussaid, Andrew Comech
We study the point spectrum of the nonlinear Dirac equation in any spatial dimension, linearized at one of the solitary wave solutions. We prove that, in any dimension, the lineari…
math.OC2012★ 14 cited
Small time reachable set of bilinear quantum systems
Nabile Boussaid, Marco Caponigro, Thomas Chambrion
This note presents an example of bilinear conservative system in an infinite dimensional Hilbert space for which approximate controllability in the Hilbert unit sphere holds for ar…