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000491449 0247_ $$2datacite_doi$$a10.3204/PUBDB-2023-00158
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000491449 1001_ $$0P:(DE-HGF)0$$aAurich, R.$$b0
000491449 245__ $$aQuantum eigenstates of a strongly chaotic system and the scar phenomenon
000491449 260__ $$c1995
000491449 300__ $$a27
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000491449 500__ $$aTheorie
000491449 520__ $$aThe 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.
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000491449 650_7 $$2INSPIRE$$aquantum mechanics
000491449 650_7 $$2INSPIRE$$achaos
000491449 650_7 $$2INSPIRE$$aphase space
000491449 650_7 $$2INSPIRE$$aenergy levels
000491449 650_7 $$2INSPIRE$$aapproximation: semiclassical
000491449 650_7 $$2INSPIRE$$anumerical calculations
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000491449 7001_ $$0P:(DE-HGF)0$$aSteiner, F.$$b1
000491449 7870_ $$0PUBDB-2017-09881$$aAurich, R. et.al.$$dAmsterdam [u.a.] : Elsevier Science, 1995$$iIsParent$$tQuantum eigenstates of a strongly chaotic system and the scar phenomenon
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