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標(biāo)題: Titlebook: Quantum versus Classical Mechanics and Integrability Problems; towards a unificatio Maciej B?aszak Book 2019 Springer Nature Switzerland AG [打印本頁(yè)]

作者: autoantibodies    時(shí)間: 2025-3-21 17:15
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作者: intuition    時(shí)間: 2025-3-21 23:19

作者: Pigeon    時(shí)間: 2025-3-22 02:22
https://doi.org/10.1007/978-3-030-18379-0deformation quantization; geometric deformation; separability theory; bosonic systems; quantum integrabi
作者: 縮短    時(shí)間: 2025-3-22 06:07

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作者: OGLE    時(shí)間: 2025-3-22 16:33
Quantum versus Classical Mechanics and Integrability Problems978-3-030-18379-0
作者: coddle    時(shí)間: 2025-3-22 17:27
y termed the . [6, 7]..This research has led to the formal definition of the complexity exhibited by social networks against the following simple ‘check list’ [5]..Regarding the fulfillment of this list of requirements by social networks, Vega-Redondo refers to the results of previous studies about
作者: Seizure    時(shí)間: 2025-3-22 21:58

作者: 譏笑    時(shí)間: 2025-3-23 01:43

作者: Self-Help-Group    時(shí)間: 2025-3-23 08:36
Maciej B?aszak of edges has less effect on centrality than the addition of edges. Nevertheless, the stability of the ranking depends on all three parameters: the structure of the network, the type of noise model used, and the centrality metric to be computed. To the best of our knowledge, this is one of the first
作者: Ambulatory    時(shí)間: 2025-3-23 09:52
Maciej B?aszakrs. Despite the fact that models of the individual information diffusion process abound in literature, modeling the competition process is left unaddressed. Here, we propose two models: (1) LMPP: a probabilistic linear framework that unifies influence of different factors contributing to popularity
作者: 斜    時(shí)間: 2025-3-23 15:56
Maciej B?aszakeneral network structures in an . manner. These simplified frameworks lack many features of real-world networks and problem contexts that can dramatically impact transmission dynamics, and therefore, backwards inference of the transmission process. Moreover, the features that distinguish foodborne d
作者: Hyperlipidemia    時(shí)間: 2025-3-23 19:15

作者: insurgent    時(shí)間: 2025-3-24 00:02
Maciej B?aszakason why these platforms share a good number of functionalities, e.g., personal communication channels, broadcasted status updates, easy one-step information sharing, and news feeds exposing broadcasted content. As a result, online social networks are an interesting field to study an online social b
作者: 狂熱文化    時(shí)間: 2025-3-24 05:54
Maciej B?aszakess connected individuals much more prone to change their opinions than more-connected ones or vice versa) lead to a steeper growth of consensus time with the system size, making the ordering process slower in general. Numerical simulations on quenched networks show that the HMF theory is able to pr
作者: Melodrama    時(shí)間: 2025-3-24 08:34
ess connected individuals much more prone to change their opinions than more-connected ones or vice versa) lead to a steeper growth of consensus time with the system size, making the ordering process slower in general. Numerical simulations on quenched networks show that the HMF theory is able to pr
作者: ABIDE    時(shí)間: 2025-3-24 13:32
Introduction,f the kinetic part, quadratic in momenta, and the potential part, position dependent. Since then, the Hamiltonian mechanics has developed into an independent general theory allowing to describe a much wider class of dynamical systems than only particle dynamics on some configuration space (base spac
作者: objection    時(shí)間: 2025-3-24 15:48
Classical Separability Theory,ars of efforts, a few different constructive methods were suggested. Obviously, the knowledge of all constants of motion for a given Liouville integrable system is not enough. Some extra information is required.
作者: enormous    時(shí)間: 2025-3-24 20:30
Book 2019d. In particular, the book presents a modern geometric separability theory, based on bi-Poissonian and bi-presymplectic representations of finite dimensional Liouville integrable systems and their admissible separable quantizations..The book contains also a generalized theory of classical St?ckel tr
作者: 地牢    時(shí)間: 2025-3-25 02:07
issonian and bi-presymplectic representations of finite dimensional Liouville integrable systems and their admissible separable quantizations..The book contains also a generalized theory of classical St?ckel tr978-3-030-18381-3978-3-030-18379-0
作者: neologism    時(shí)間: 2025-3-25 04:46

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作者: 梯田    時(shí)間: 2025-3-25 16:33
Classical Hamiltonian Mechanics, mechanics. The theory is formulated in the frame of Poisson geometry and presymplectic geometry. On the level of statistical Hamiltonian mechanics we introduce the language and notions familiar from the quantum level in order to further unify both theories. In particular we consider such issues as
作者: Preamble    時(shí)間: 2025-3-25 23:10
Classical Integrable and Separable Hamiltonian Systems,sed on the notion of separation relations introduced by Sklyanin. Separation relations are the most fundamental objects of modern separability theory as well as allow for classification of all separable systems. We concentrate our attention on the subclass of separable systems for which all constant
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作者: BALE    時(shí)間: 2025-3-26 11:26
Position Representation of Quantum Mechanics over Riemannian Configuration Space,ction of the so called position representation of quantum mechanics over an appropriate class of Riemaniann spaces in any admissible local curvilinear coordinates. In particular, for a flat space and Cartesian coordinates we reconstruct the standard quantization procedure from textbooks of quantum m
作者: Ptosis    時(shí)間: 2025-3-26 15:28
Position Representation of Quantum Mechanics over Riemannian Configuration Space,resent the reader a class of quantizations of classical St?ckel systems considered in previous chapters, which preserve quantum integrability, quantum superintegrability and quantum stationary separability of related quantum Hamiltonian operators.
作者: Nuance    時(shí)間: 2025-3-26 18:41

作者: 類人猿    時(shí)間: 2025-3-26 21:27
Basic Mathematical Tools,portant formulas of these formalisms are collected in this chapter. The reader who is less familiar with these mathematical tools will find here necessary knowledge presented in a compact form. For a more comprehensive treatment of the subject we refer the reader to the literature.
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作者: paradigm    時(shí)間: 2025-3-27 12:16

作者: Digitalis    時(shí)間: 2025-3-27 14:47
ort of study has usually been performed over small social networks, and the limitation of size has conditioned the visibility of complexity [4, 5]. However, the situation has changed significantly in recent times due to basically two reasons. First, there is an increasing availability of larger soci
作者: PAC    時(shí)間: 2025-3-27 19:53
Maciej B?aszakave a large number of practical implications ranging from detecting spam emails, to predicting which item is selected by which user in a recommendation system. However, considering the highly dynamical aspect of complex networks, there is a rising interest not only for knowing who will interact with
作者: 正常    時(shí)間: 2025-3-27 21:58

作者: 閹割    時(shí)間: 2025-3-28 03:20
Maciej B?aszake to the limitations of data collection techniques and the implicit bias during modeling the network. In both cases, they lead to changes in the network in the form of additional or missing edges, collectively termed as noise. Given that network analysis is used in many critical applications from cr
作者: 褲子    時(shí)間: 2025-3-28 07:16
Maciej B?aszakh hashtag may go viral against others; also in an e-commerce site like Amazon, reviews of a product over the time can help to identify which product will be preferred over others in future. The information dynamics follow a complex diffusion process and many factors reinforce each other. There are c
作者: 公理    時(shí)間: 2025-3-28 13:21
Maciej B?aszakdistribution is a complex system that can be seen as a network of trade flows connecting supply chain actors. Identifying the source of an outbreak of foodborne disease distributed across this network can be solved by considering this network structure and the dimensions of information it contains.
作者: FLORA    時(shí)間: 2025-3-28 18:05
Maciej B?aszakoral structures, focusing on the growth dynamics of the epidemics. The model assumes no underlying topological structure and is only constrained by the time between two consecutive events of vertex activation, hereafter called vertex inter-event time. The network model consists of random activations




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