Browse:

The university is member of the Confederation of Open Access Repositories (COAR)

More information about Open Acces at open-acces.net

From spectral statistics to decay in quantum chaotic systems: a semiclassical analysis beyond Random Matrix Theory

URN to cite this document: urn:nbn:de:bvb:355-opus-11202

Gutiérrez Márquez, Martha Lucía (2009) From spectral statistics to decay in quantum chaotic systems: a semiclassical analysis beyond Random Matrix Theory. PhD, Universität Regensburg

Preview

Publishing license for publications excluding print on demand
PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
5Mb

Abstract (English)

The semiclassical approximation has been the main tool to connect classical and quantum mechanics, and some properties of classical chaotic systems with their quantum counterpart. Part of the community of quantum chaos has been concentrated in showing the dynamical mechanism behind the results of Random Matrix Theory (RMT) through the semiclassical methods. Semiclassics can go beyond that being able to estimate the limits of the RMT predictions and describe phenomena beyond the scope of RMT. In this thesis, we study two sources of deviations from RMT in closed and open systems: one is the effect of bifurcations in the spectral statistics of closed systems and the second one is the study of deviations from RMT due to a finite Ehrenfest time in open chaotic systems.

Translation of the abstract (German)

Die semiklassische Näherung ist die wichtigste Theorie, um klassische Mechanik mit Quantenmechanik zu verbinden, und um den Zusammenhang zwischen Eigenschaften von klassischen chaotischen Systemen und ihrem quantenmechanischen Gegenstück zu analysieren. Ein Teil der Quantenchaos-Forscher hat sich darauf spezialisiert, die Ergebnisse von Zufallsmatrixtheorie mit semiklassischen Methoden nachzuvollziehen. Außerdem geht die semiklassische Theorie darüber hinaus und untersucht die Grenzen von Zufallsmatrixtheorie und beschreibt Phänomene jenseits Zufallsmatrixtheorie. In dieser Dissertation untersuchen wir zwei Quellen von Abweichungen von Zufallsmatrixtheorie: die Effekte von Bifurkationen in der spektralen Statistik von geschlossenen Systemen und die Effekte von einer endlichen Ehrenfestzeit beim Zerfall in offenen chaotischen Systemen.

Item Type:	Thesis of the University of Regensburg (PhD)
Referee:	Prof. Dr. Klaus Richter
Date of exam:	22 November 2008
Institutions:	Physics > Institute of Theroretical Physics > Chair Professor Richter > Group Klaus Richter
Keywords:	Quantenchaos , Quasiklassisches Modell , Quatenchaos , spektral Statistik , semiklassische Methoden , Zerfall , Quantum chaos , spectral statistics , semiclassical methods , decay
Subjects:	500 Science > 530 Physics
Status:	Published
Refereed:	Yes, this version has been refereed
Created at the University of Regensburg:	Yes
Owner:	Universitätsbibliothek Regensburg
Deposited On:	14 Jan 2010 16:22
Last Modified:	21 Jul 2011 00:14
Item ID:	12079

Export bibliographical data

Literature of the same author

in this repository

Gutiérrez Márquez, Martha Lucía

at BASE

at Google Scholar

at Scirus

Bookmark

Owner Only: item control page