3 citations · 6 across the 3 of their papers we have counts for
3 papers
math.SP2017★ 2 cited
Resonances under Rank One Perturbations
Olivier Bourget, Victor Cortes, Rafael del Rio +1
We study resonances generated by rank one perturbations of selfadjoint operators with eigenvalues embedded in the continuous spectrum. Instability of these eigenvalues is analyzed…
math-ph2015★ 3 cited
Energy-time uncertainty principle and lower bounds on sojourn time
Joachim Asch, Olivier Bourget, Victor Cortes +1
One manifestation of quantum resonances is a large sojourn time, or autocorrelation, for states which are initially localized. We elaborate on Lavine's time-energy uncertainty prin…
math.FA2015★ 1 cited
Commutation Relations for Unitary Operators II
M. A. Astaburuaga, O. Bourget, V. H. Cortés
Let be a regular non-constant symbol defined on the -dimensional torus with values on the unit circle. Denote respectively by and , its set of critica…