9 citations · 15 across the 5 of their papers we have counts for
5 papers
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…
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…
Exponential decay and resonances in a driven system
Philippe Briet, Claudio Fernandez
We study the resonance phenomena for time periodic perturbations of a Hamiltonian on the Hilbert space . Here, resonances are characterized in terms of time…
Commutator methods for unitary operators
C. Fernandez, S. Richard, R. Tiedra de Aldecoa
We present an improved version of commutator methods for unitary operators under a weak regularity condition. Once applied to a unitary operator, the method typically leads to the…
Dynamical resonances and SSF singularities for a magnetic Schroedinger operator
Maria Angélica Astaburuaga, Philippe Briet, Vincent Bruneau +2
We consider the Hamiltonian of a 3D spinless non-relativistic quantum particle subject to parallel constant magnetic and non-constant electric field. The operator has infin…