263 citations · 2.2k across the 84 of their papers we have counts for
7 papers · 1 filter
Relaxation and Diffusion for the Kicked Rotor
M. Khodas, S. Fishman
The dynamics of the kicked-rotor, that is a paradigm for a mixed system, where the motion in some parts of phase space is chaotic and in other parts is regular is studied statistic…
The Quantum-Classical Crossover in the Adiabatic Response of Chaotic Systems
Ophir M. Auslaender, Shmuel Fishman
The autocorrelation function of the force acting on a slow classical system, resulting from interaction with a fast quantum system is calculated following Berry-Robbins and Jarzyns…
Correlations in the Adiabatic Response of Chaotic Systems
Ophir M. Auslaender, Shmuel Fishman
Adiabatic variation of the parameters of a chaotic system results in a fluctuating reaction force. In the leading order in the adiabaticity parameter, a dissipative force, that is…
Relaxation to the Invariant Density for Kicked Rotor
M. Khodas, S. Fishman, O. Agam
The relaxation rates to the invariant density in the chaotic phase space component of the kicked rotor (standard map) are calculated analytically for a large stochasticity paramete…
The Accuracy of Semiclassical Quantization for Integrable Systems
Saar Rahav, Oded Agam, Shmuel Fishman
The eigenvalues of the Hyperspherical billiard are calculated in the semiclassical approximation. The eigenvalues where this approximation fails are identified and found to be rela…
Exact Eigenfunctions of a Chaotic System
O. M. Auslaender, S. Fishman
The interest in the properties of quantum systems, whose classical dynamics are chaotic, derives from their abundance in nature. The spectrum of such systems can be related, in the…
Approach to ergodicity in quantum wave functions
Bruno Eckhardt, Shmuel Fishman, Jonathan Keating +3
According to theorems of Shnirelman and followers, in the semiclassical limit the quantum wavefunctions of classically ergodic systems tend to the microcanonical density on the ene…