Classical fluctuations and semiclassical matrix elements

Citation
B. Eckhardt et al., Classical fluctuations and semiclassical matrix elements, PROG T PH S, (139), 2000, pp. 59-69
Citations number
26
Categorie Soggetti
Physics
Journal title
PROGRESS OF THEORETICAL PHYSICS SUPPLEMENT
ISSN journal
03759687 → ACNP
Issue
139
Year of publication
2000
Pages
59 - 69
Database
ISI
SICI code
0375-9687(2000):139<59:CFASME>2.0.ZU;2-X
Abstract
We discuss the fluctuation properties of diagonal matrix elements in the se miclassical limit in chaotic systems. For extended observables, covering a phase space area of many times Planck's constant, both classical and quanta l distributions are Gaussian. If the observable is a projection onto a sing le state or an incoherent projection onto several states classical and quan tal distribution differ, but the mean and the variance are still obtainable from classical considerations.