263 citations · 2.2k across the 84 of their papers we have counts for
4 papers · 2 filters
Point perturbations of circle billiards
Saar Rahav, Oran Richman, Shmuel Fishman
The spectral statistics of the circular billiard with a point-scatterer is investigated. In the semiclassical limit, the spectrum is demonstrated to be composed of two uncorrelated…
Time independent description of rapidly oscillating potentials
Saar Rahav, Ido Gilary, Shmuel Fishman
The classical and quantum dynamics in a high frequency field are found to be described by an effective time independent Hamiltonian. It is calculated in a systematic expansion in t…
A classical scaling theory of quantum resonances
Sandro Wimberger, Italo Guarneri, Shmuel Fishman
The quantum resonances occurring with delta-kicked particles are studied with the help of a fictitious classical limit, establishing a direct correspondence between the nearly reso…
Effective Hamiltonians for periodically driven systems
Saar Rahav, Ido Gilary, Shmuel Fishman
The dynamics of classical and quantum systems which are driven by a high frequency () field is investigated. For classical systems the motion is separated into a slow part and a…