Periodic Orbit Bifurcations and Scattering Time Delay Fluctuations(Quantum Mechanics and Chaos)
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概要
- 論文の詳細を見る
We study fluctuations of the Wigner time delay for open (scattering) systems which exhibit mixed dynamics in the classical limit. It is shown that in the semiclassical limit the time delay fluctuations have a distribution that differs markedly from those which describe fully chaotic (or strongly disordered) systems: their moments have a power law dependence on a semiclassical parameter, with exponents that are rational fractions. These exponents are obtained from bifurcating periodic orbits trapped in the system. They are universal in situations where sufficiently long orbits contribute. We illustrate the influence of bifurcations on the time delay numerically using an open quantum map.
- 理論物理学刊行会の論文
- 2007-05-31
著者
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Sieber M.
School Of Mathematics University Of Bristol
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KEATING J.
School of Mathematics, University of Bristol
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de ALMEIDA
Centro Brasileiro de Pesquisas Fisicas
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PRADO S.
Institute de Fisica, Universidade Federal do Rio Grande do Sul
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VALLEJOS R.
Centro Brasileiro de Pesquisas Fisicas
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Prado S.
Institute De Fisica Universidade Federal Do Rio Grande Do Sul
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Keating J.
School Of Mathematics University Of Bristol
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Ozorio de
Centro Brasileiro de Pesquisas Fisicas