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Titlebook: Quantum Signatures of Chaos; Fritz Haake Book 20103rd edition Springer-Verlag Berlin Heidelberg 2010 Chaos.Clustering.classical Hamiltonia

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发表于 2025-3-21 18:03:26 | 显示全部楼层 |阅读模式
书目名称Quantum Signatures of Chaos
编辑Fritz Haake
视频video
概述Fully updated and expanded 3rd edition of a now classic text..Presents new material on classical Hamiltonian chaos to make the presentation of all semi-classical developments self-contained..Provides
丛书名称Springer Series in Synergetics
图书封面Titlebook: Quantum Signatures of Chaos;  Fritz Haake Book 20103rd edition Springer-Verlag Berlin Heidelberg 2010 Chaos.Clustering.classical Hamiltonia
描述Nine years have passed since I dispatched the second edition, and the book still appears to be in demand. The time may be ripe for an update. As the perhaps most conspicable extension, I describe the understanding of u- versal spectral ?uctuations recently reached on the basis of periodic-orbit theory. To make the presentation of those semiclassical developments selfcontained, I decided to to underpin them by a new short chapter on classical Hamiltonian mechanics. Inasmuch as the semiclassical theory not only draws inspiration from the nonlinear sigma model but actually aims at constructing that model in terms of periodic orbits, it appeared indicated to make small additions to the previous treatment within the chapter on superanalysis. Less voluminous but as close to my heart are additions to the chapter on level dynamics which close previous gaps in that approach to spectral universality. It was a pleasant duty to pay my respect to collegues in our Transregio- Sonderforschungsbereich, Martin Zirnbauer, Alex Altland, Alan Huckleberry, and Peter Heinzner, by including a short account of their beautiful work on nonstandard symmetry classes. The chapter on random matrices has not bee
出版日期Book 20103rd edition
关键词Chaos; Clustering; classical Hamiltonian chaos; dissipative systems; level dynamics; linear optimization;
版次3
doihttps://doi.org/10.1007/978-3-642-05428-0
isbn_softcover978-3-642-26330-9
isbn_ebook978-3-642-05428-0Series ISSN 0172-7389 Series E-ISSN 2198-333X
issn_series 0172-7389
copyrightSpringer-Verlag Berlin Heidelberg 2010
The information of publication is updating

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发表于 2025-3-21 22:57:20 | 显示全部楼层
Random-Matrix Theory,splay global chaos in their classical phase spaces. Exceptions apart, all such Hamiltonian matrices of sufficiently large dimension yield the same spectral fluctuations provided they have the same group of canonical transformations (see Chap. 2).
发表于 2025-3-22 02:48:05 | 显示全部楼层
Dissipative Systems,hand, approach so-called strange attractors whose geometry is determined by Cantor sets and their fractal dimension. In analogy with the Hamiltonian case, the two classical possibilities of simple and strange attractors are washed out by quantum fluctuations.
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https://doi.org/10.1007/978-3-642-05428-0Chaos; Clustering; classical Hamiltonian chaos; dissipative systems; level dynamics; linear optimization;
发表于 2025-3-23 00:16:23 | 显示全部楼层
978-3-642-26330-9Springer-Verlag Berlin Heidelberg 2010
发表于 2025-3-23 01:58:55 | 显示全部楼层
Quantum Signatures of Chaos978-3-642-05428-0Series ISSN 0172-7389 Series E-ISSN 2198-333X
发表于 2025-3-23 08:29:47 | 显示全部楼层
Time Reversal and Unitary Symmetries,A classical Hamiltonian system is called time-reversal invariant if from any given solution .(.), .(.) of Hamilton’s equations an independent solution .′(.′), .′(.′), is obtained with t′ = −t and some operation relating .′ and .′ to the original coordinates . and momenta ..
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