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標(biāo)題: Titlebook: Quantum Signatures of Chaos; Fritz Haake Book 20103rd edition Springer-Verlag Berlin Heidelberg 2010 Chaos.Clustering.classical Hamiltonia [打印本頁]

作者: 指責(zé)    時(shí)間: 2025-3-21 18:03
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作者: Insul島    時(shí)間: 2025-3-21 22:57
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).
作者: Conducive    時(shí)間: 2025-3-22 02:48
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.
作者: 反復(fù)拉緊    時(shí)間: 2025-3-22 06:24

作者: 絕緣    時(shí)間: 2025-3-22 10:56

作者: legitimate    時(shí)間: 2025-3-22 13:29

作者: Overdose    時(shí)間: 2025-3-22 17:13
https://doi.org/10.1007/978-3-642-05428-0Chaos; Clustering; classical Hamiltonian chaos; dissipative systems; level dynamics; linear optimization;
作者: 血友病    時(shí)間: 2025-3-23 00:16
978-3-642-26330-9Springer-Verlag Berlin Heidelberg 2010
作者: LATE    時(shí)間: 2025-3-23 01:58
Quantum Signatures of Chaos978-3-642-05428-0Series ISSN 0172-7389 Series E-ISSN 2198-333X
作者: 典型    時(shí)間: 2025-3-23 08:29
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 ..
作者: BABY    時(shí)間: 2025-3-23 13:01

作者: 航海太平洋    時(shí)間: 2025-3-23 14:54
Level Clustering,Here I propose to cosnsider classical autonomous systems with . degrees of freedom and 2 . pairs of canonical variables . ., . .. We shall meet with invariant tori, caustics, and Maslov indices and proceed to the semiclassical torus quantization à la . and . (EBK) and its modern variant, a periodic-orbit theory.
作者: circumvent    時(shí)間: 2025-3-23 18:39
Level Dynamics,As . discovered [1], the fate of the eigenvalues and eigenvectors of a Hamiltonian . = . . +λ. upon variation of λ can be described by a set of ordinary firstorder differential equations. That set was interpreted by . [2, 3] as Hamilton’s equations for fictitious classical particles moving in one dimension as the “time” λ elapses.
作者: anticipate    時(shí)間: 2025-3-24 01:55

作者: FLIT    時(shí)間: 2025-3-24 05:26
Fritz HaakeFully 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
作者: ADJ    時(shí)間: 2025-3-24 07:48

作者: eustachian-tube    時(shí)間: 2025-3-24 12:17
the impact of utilization processes. Part of this knowledge is already available. The problems are not confined to this part of the world‘s arid lands, but exist equally well elsewhere. Especially over the last decades an ever increasing number of studies have been published dealing with aspects of
作者: Rustproof    時(shí)間: 2025-3-24 18:10
Fritz Haakeources and the impact of utilization processes. Part of this knowledge is already available. The problems are not confined to this part of the world‘s arid lands, but exist equally well elsewhere. Especially over the last decades an ever increasing number of studies have been published dealing with aspects of978-94-009-9624-3978-94-009-9622-9
作者: 下船    時(shí)間: 2025-3-24 22:13

作者: 組裝    時(shí)間: 2025-3-25 00:36
Fritz Haakeources and the impact of utilization processes. Part of this knowledge is already available. The problems are not confined to this part of the world‘s arid lands, but exist equally well elsewhere. Especially over the last decades an ever increasing number of studies have been published dealing with aspects of978-94-009-9624-3978-94-009-9622-9
作者: 共同確定為確    時(shí)間: 2025-3-25 06:36
Fritz Haake the impact of utilization processes. Part of this knowledge is already available. The problems are not confined to this part of the world‘s arid lands, but exist equally well elsewhere. Especially over the last decades an ever increasing number of studies have been published dealing with aspects of
作者: obscurity    時(shí)間: 2025-3-25 11:08

作者: Inveterate    時(shí)間: 2025-3-25 14:06

作者: 思想    時(shí)間: 2025-3-25 18:49

作者: chance    時(shí)間: 2025-3-25 22:11

作者: 領(lǐng)先    時(shí)間: 2025-3-26 04:09

作者: Influx    時(shí)間: 2025-3-26 06:26
Fritz Haakeources and the impact of utilization processes. Part of this knowledge is already available. The problems are not confined to this part of the world‘s arid lands, but exist equally well elsewhere. Especially over the last decades an ever increasing number of studies have been published dealing with aspects of978-94-009-9624-3978-94-009-9622-9
作者: cavity    時(shí)間: 2025-3-26 11:45
Fritz Haakeources and the impact of utilization processes. Part of this knowledge is already available. The problems are not confined to this part of the world‘s arid lands, but exist equally well elsewhere. Especially over the last decades an ever increasing number of studies have been published dealing with aspects of978-94-009-9624-3978-94-009-9622-9
作者: 巧辦法    時(shí)間: 2025-3-26 15:07

作者: explicit    時(shí)間: 2025-3-26 16:46
Book 20103rd editionty. 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
作者: 極端的正確性    時(shí)間: 2025-3-26 23:27
alue of desert shrubs 12 D. Iraq, a brief introduction to the country 14 1. Environment 14 2. Population 17 3. Land use 18 4. Vegetation 19 I. INTRODUCTION I. A. Scope of the study The degradation of renewable natural resources in the arid areas of South West Asia has become a matter of great concer
作者: 暗諷    時(shí)間: 2025-3-27 03:46

作者: conflate    時(shí)間: 2025-3-27 05:49
Fritz HaakeResource value of desert shrubs 12 D. Iraq, a brief introduction to the country 14 1. Environment 14 2. Population 17 3. Land use 18 4. Vegetation 19 I. INTRODUCTION I. A. Scope of the study The degradation of renewable natural resources in the arid areas of South West Asia has become a matter of gr
作者: Fibroid    時(shí)間: 2025-3-27 10:53
Fritz HaakeResource value of desert shrubs 12 D. Iraq, a brief introduction to the country 14 1. Environment 14 2. Population 17 3. Land use 18 4. Vegetation 19 I. INTRODUCTION I. A. Scope of the study The degradation of renewable natural resources in the arid areas of South West Asia has become a matter of gr
作者: 范例    時(shí)間: 2025-3-27 15:10
Fritz Haakealue of desert shrubs 12 D. Iraq, a brief introduction to the country 14 1. Environment 14 2. Population 17 3. Land use 18 4. Vegetation 19 I. INTRODUCTION I. A. Scope of the study The degradation of renewable natural resources in the arid areas of South West Asia has become a matter of great concer
作者: 跳動(dòng)    時(shí)間: 2025-3-27 19:23

作者: cluster    時(shí)間: 2025-3-27 23:19
Fritz Haakealue of desert shrubs 12 D. Iraq, a brief introduction to the country 14 1. Environment 14 2. Population 17 3. Land use 18 4. Vegetation 19 I. INTRODUCTION I. A. Scope of the study The degradation of renewable natural resources in the arid areas of South West Asia has become a matter of great concer
作者: 逢迎春日    時(shí)間: 2025-3-28 06:08

作者: Criteria    時(shí)間: 2025-3-28 09:26
Fritz HaakeResource value of desert shrubs 12 D. Iraq, a brief introduction to the country 14 1. Environment 14 2. Population 17 3. Land use 18 4. Vegetation 19 I. INTRODUCTION I. A. Scope of the study The degradation of renewable natural resources in the arid areas of South West Asia has become a matter of gr
作者: 全神貫注于    時(shí)間: 2025-3-28 13:48
Fritz Haakealue of desert shrubs 12 D. Iraq, a brief introduction to the country 14 1. Environment 14 2. Population 17 3. Land use 18 4. Vegetation 19 I. INTRODUCTION I. A. Scope of the study The degradation of renewable natural resources in the arid areas of South West Asia has become a matter of great concer
作者: 特征    時(shí)間: 2025-3-28 16:11

作者: opinionated    時(shí)間: 2025-3-28 21:51

作者: 梯田    時(shí)間: 2025-3-29 02:34
Resource value of desert shrubs 12 D. Iraq, a brief introduction to the country 14 1. Environment 14 2. Population 17 3. Land use 18 4. Vegetation 19 I. INTRODUCTION I. A. Scope of the study The degradation of renewable natural resources in the arid areas of South West Asia has become a matter of gr
作者: tolerance    時(shí)間: 2025-3-29 04:05
Book 20103rd editionerhaps 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 Hami
作者: 落葉劑    時(shí)間: 2025-3-29 10:11

作者: Customary    時(shí)間: 2025-3-29 13:40

作者: 褻瀆    時(shí)間: 2025-3-29 16:46
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.
作者: 叢林    時(shí)間: 2025-3-29 22:33
Classical Hamiltonian Chaos,bare minimum since many excellent texts on classical chaos are available [1–5]. Readers with a good command of nonlinear dynamics might want to right away start with Sect. 9.14 where I begin expounding the fact that long periodic orbits of hyperbolic systems are not independent individuals but rathe




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