Classical fluctuations and semiclassical matrix elements

Details Classical fluctuations and semiclassical matrix elements Classical fluctuations and semiclassical matrix elements

2000-08-17

arxiv.org/abs/nlin/0008022v1

Prog. of Theor. Phys. Supp. 139 59-69 (2000).

Nonlinear Sciences

Chaotic Dynamics

12 pages, 6 figures

Scientific paper

10.1143/PTPS.139.59

We discuss the fluctuation properties of diagonal matrix elements in the semiclassical limit in chaotic systems. For extended observables, covering a phase space area of many times Planck's constant, both classical and quantal distributions are Gaussian. If the observable is a projection onto a single state or an incoherent projection onto several states classical and quantal distribution differ, but the mean and the variance are still obtainable from classical considerations.

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