124 citations · 324 across the 7 of their papers we have counts for
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Time-independent approximations for periodically driven systems with friction
Saar Rahav, Eli Geva, Shmuel Fishman
The classical dynamics of a particle that is driven by a rapidly oscillating potential (with frequency ) is studied. The motion is separated into a slow part and a fast part tha…
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…
Quantum resonances and decoherence for delta-kicked atoms
Sandro Wimberger, Italo Guarneri, Shmuel Fishman
The quantum resonances occurring with delta-kicked atoms when the kicking period is an integer multiple of the half-Talbot time are analyzed in detail. Exact results about the mome…
Semiclassical quantization of maps with a variable time scale
A. Iomin, S. Fishman, G. M. Zaslavsky
Quantization of energy balance equations, which describe a separatrix -- like motion is presented. The method is based on an exact canonical transformation of the energy--time pair…
Relaxation and Noise in Chaotic Systems
Shmuel Fishman, Saar Rahav
For a class of idealized chaotic systems (hyperbolic systems) correlations decay exponentially in time. This result is asymptotic and rigorous. The decay rate is related to the Rue…