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The statistical description of irregular eigenfunctions: A semiclassical approach

Urbina, Juan Diego (2004) The statistical description of irregular eigenfunctions: A semiclassical approach. PhD, Universität Regensburg.

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Date of publication of this fulltext: 25 Oct 2004 15:36

Abstract (English)

We present a novel approach to study the statistical properties of eigenfunctions in quantum systems with chaotic classical counterpart. The method is based on a far reaching generalization of an old suggestion, made by Berry in 1977, saying that irregular eigenfunctions can be described as Gaussian-distributed random functions. The so-called Gaussian conjecture is supplemented with a well ...

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Translation of the abstract (German)

In der vorliegenden Arbeit präsentieren wir eine neuartige Methode zur Untersuchung der statistischen Eigenschaften von Eigenfunktionen in Quantensystemen mit chaotischer, klassischer Beschreibung. Die Methode basiert auf einer weitreichenden Verallgemeinerung einer klassischen Idee von Berry, die besagt, dass irreguläre Eigenfunktionen mittels Gauss-verteilten Zufallsfunktionen beschrieben ...

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Item type:Thesis of the University of Regensburg (PhD)
Date:24 October 2004
Referee:Klaus (Prof. Dr.) Richter
Date of exam:27 July 2004
Institutions:Physics > Institute of Theroretical Physics > Chair Professor Richter > Group Klaus Richter
Classification:
NotationType
05.45.MtPACS
03.65.SqPACS
Keywords:Quantenchaos , Mesoskopisches System , Zufalls-Wellen-Modell , Quantum chaos , Mesoscopic Systems , Random Wave Models
Dewey Decimal Classification:500 Science > 530 Physics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Item ID:10225
Owner only: item control page

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