Report

PUBDB-2023-00158

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Quantum eigenstates of a strongly chaotic system and the scar phenomenon

Aurich, R. ; Steiner, F.

1995

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Please use a persistent id in citations: doi:10.3204/PUBDB-2023-00158

Report No.: DESY-93-057

Abstract: The quantum eigenstates of the Hadamard-Gutzwiller model, a strongly chaotic system, are studied with special emphasis on the scar phenomenon. The dynamics of a localized wavepacket is discussed which travels along a short periodic orbit yielding a test for the scar model developed by Heller. The autocorrelation function C(t) and the smeared weighted spectral density Sg (E) are in accordance with this model, but the conclusion that this implies the existence of scarred eigenstates is not confirmed. A random wavefunction model generates with the same probability intensity structures being localized near short periodic orbits as the wavefunctions obeying the Schrödinger equation. Although there are some eigenstates which are localized near a periodic orbit, the conclusion that their intensities differ significantly from the statistically expected ones cannot be drawn. Thus the scar phenomenon seems to be absent in the Hadamard-Gutzwiller model.

Keyword(s): quantum mechanics ; chaos ; phase space ; energy levels ; approximation: semiclassical ; numerical calculations

Note: Theorie

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Contributing Institute(s):

1. DESY Retrocat (DESY(-2012))

Research Program(s):

1. 899 - ohne Topic (POF3-899) (POF3-899)

Experiment(s):

1. No specific instrument

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article Aurich, R. ; Steiner, F.
Quantum eigenstates of a strongly chaotic system and the scar phenomenon
Chaos, solitons & fractals 5(2), 229 - 255 (1995) [10.1016/0960-0779(93)E0020-C]1995     Files BibTeX | EndNote: XML, Text | RIS

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