✦ LIBER ✦

Scaling laws and correlation lengths of quantum and classical ergodic states

✍ Scribed by Moshe Shapiro; Jacov Ronkin; Paul Brumer

Publisher: Elsevier Science
Year: 1988
Tongue: English
Weight: 492 KB
Volume: 148
Category: Article
ISSN: 0009-2614
DOI: 10.1016/0009-2614(88)80295-1

No coin nor oath required. For personal study only.

✦ Synopsis

The semiclassical analog of the spatial quantum wavefunction correlation is shown to be identical, over short ranges, to its quantum counterpart for the vast majority of high-lying stadium eigenstates. Also, the semiclassical and pure quantum correlation lengths are shown to scale as the local de Broglie wavelength, a feature related to quantum ergo&city. Cross correlation and the time evolution of correlation lengths for non-stationary quantum states are then examined and the latter is shown to be a near constant of the motion for chaotic wavepackets. This characteristic may relate to features of quantum mixing.

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