Fluctuations of wave functions about their classical average

Details Fluctuations of wave functions about their classical average Fluctuations of wave functions about their classical average

2002-07-22

arxiv.org/abs/nlin/0207039v1

J.Phys.A36:1289-1298,2003

Nonlinear Sciences

Chaotic Dynamics

9 pages, 6 figures. Sent to J. Phys. A

Scientific paper

10.1088/0305-4470/36/5/307

Quantum-classical correspondence for the average shape of eigenfunctions and the local spectral density of states are well-known facts. In this paper, the fluctuations that quantum mechanical wave functions present around the classical value are discussed. A simple random matrix model leads to a Gaussian distribution of the amplitudes. We compare this prediction with numerical calculations in chaotic models of coupled quartic oscillators. The expectation is broadly confirmed, but deviations due to scars are observed.

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