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Eigenfunctions in chaotic quantum systems

Abstract

The structure of wavefunctions of quantum systems strongly depends on the underlying classical dynamics. In this text a selection of articles on eigenfunctions in systems with fully chaotic dynamics and systems with a mixed phase space is summarized. Of particular interest are statistical properties like amplitude distribution and spatial autocorrelation function and the implication of eigenfunction structures on transport properties. For systems with a mixed phase space the separation into regular and chaotic states does not always hold away from the semiclassical limit, such that chaotic states may completely penetrate into the region of the regular island. The consequences of this flooding are discussed and universal aspects highlighted. (orig.)
Authors:
Publication Date:
Jul 01, 2007
Product Type:
Thesis/Dissertation
Report Number:
INIS-DE-0620
Resource Relation:
Other Information: TH: Habil-Schr. (Dr.rer.nat.habil.)
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; EIGENFUNCTIONS; DYNAMICS; PHASE SPACE; AMPLITUDES; SPATIAL DISTRIBUTION; WAVE FUNCTIONS; QUANTUM MECHANICS; STOCHASTIC PROCESSES; CLASSICAL MECHANICS; CORRELATION FUNCTIONS; TRANSPORT THEORY
OSTI ID:
21157835
Research Organizations:
Technische Univ. Dresden (Germany). Fakultaet fuer Mathematik und Naturwissenschaften
Country of Origin:
Germany
Language:
English
Other Identifying Numbers:
TRN: DE09F3977
Availability:
Commercial reproduction prohibited; INIS; OSTI as DE21157835
Submitting Site:
DEN
Size:
183 pages
Announcement Date:
May 18, 2009

Citation Formats

Baecker, Arnd. Eigenfunctions in chaotic quantum systems. Germany: N. p., 2007. Web.
Baecker, Arnd. Eigenfunctions in chaotic quantum systems. Germany.
Baecker, Arnd. 2007. "Eigenfunctions in chaotic quantum systems." Germany.
@misc{etde_21157835,
title = {Eigenfunctions in chaotic quantum systems}
author = {Baecker, Arnd}
abstractNote = {The structure of wavefunctions of quantum systems strongly depends on the underlying classical dynamics. In this text a selection of articles on eigenfunctions in systems with fully chaotic dynamics and systems with a mixed phase space is summarized. Of particular interest are statistical properties like amplitude distribution and spatial autocorrelation function and the implication of eigenfunction structures on transport properties. For systems with a mixed phase space the separation into regular and chaotic states does not always hold away from the semiclassical limit, such that chaotic states may completely penetrate into the region of the regular island. The consequences of this flooding are discussed and universal aspects highlighted. (orig.)}
place = {Germany}
year = {2007}
month = {Jul}
}