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Titlebook: Wave Packet Analysis of Feynman Path Integrals; Fabio Nicola,S. Ivan Trapasso Book 2022 The Editor(s) (if applicable) and The Author(s), u

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發(fā)表于 2025-3-21 19:37:21 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱(chēng)Wave Packet Analysis of Feynman Path Integrals
編輯Fabio Nicola,S. Ivan Trapasso
視頻videohttp://file.papertrans.cn/1022/1021200/1021200.mp4
概述Includes a self-contained treatment of the background toolkit.Describes a novel approach to the analysis of Feynman path integrals.Provides a detailed exposition of recent advances in mathematical pat
叢書(shū)名稱(chēng)Lecture Notes in Mathematics
圖書(shū)封面Titlebook: Wave Packet Analysis of Feynman Path Integrals; Fabio Nicola,S. Ivan Trapasso Book 2022 The Editor(s) (if applicable) and The Author(s), u
描述The purpose of this monograph is to offer an accessible and essentially self-contained presentation of some mathematical aspects of the Feynman path integral in non-relativistic quantum mechanics. In spite of the primary role in the advancement of modern theoretical physics and the wide range of applications, path integrals are still a source of challenging problem for mathematicians. From this viewpoint, path integrals can be roughly described in terms of approximation formulas for an operator (usually the propagator of a Schr?dinger-type evolution equation) involving a suitably designed sequence of operators..In keeping with the spirit of harmonic analysis, the guiding theme of the book is to illustrate how the powerful techniques of time-frequency analysis - based on the decomposition of functions and operators in terms of the so-called Gabor wave packets – can be successfully applied to mathematical path integrals, leading to remarkable results and paving the wayto a fruitful interaction..This monograph intends to build a bridge between the communities of people working in time-frequency analysis and mathematical/theoretical physics, and to provide an exposition of the present
出版日期Book 2022
關(guān)鍵詞Feynman Path Integrals; Pseudodifferential Operators; Pointwise Convergence of Kernels; Time Slicing Ap
版次1
doihttps://doi.org/10.1007/978-3-031-06186-8
isbn_softcover978-3-031-06185-1
isbn_ebook978-3-031-06186-8Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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發(fā)表于 2025-3-21 20:51:55 | 只看該作者
Fabio Nicola,S. Ivan Trapassos may also interfere with other diagnostic uses of thermography. Specific examples relating to the main pathological agents, (pressure, heat, cold, nuclear radiation, etc) are briefly reviewed. The effects of trauma are discussed with reference to the pathophysiology of tissues, the resulting therma
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5#
發(fā)表于 2025-3-22 11:47:53 | 只看該作者
Fabio Nicola,S. Ivan Trapassotructural assumptions (such as ellipticity) on log-increments and establish connection with continuous-time Geometric Brownian Motion (GBM). Our approach can be applied to simultaneous modeling of a variety of stocks traded at multiple stock exchanges and can adequately account for heavy tails and o
6#
發(fā)表于 2025-3-22 15:02:07 | 只看該作者
thmetic and is an alternative to the class of e-bundle methods, which are well-known approaches to nonsmooth optimization problems. Principally, interval methods and e-bundle methods share about almost the same local properties such as convergence theory, convergence speed and several algorithmical
7#
發(fā)表于 2025-3-22 19:20:28 | 只看該作者
Fabio Nicola,S. Ivan Trapassodreds of thousands of processors, each one composed of by several semi-specialized cores. From a pure performance view point such architectures appear very promising, even if the most suitable programming methods from the users view point have yet to be discovered. Currently both message passing and
8#
發(fā)表于 2025-3-22 21:33:21 | 只看該作者
Fabio Nicola,S. Ivan Trapasso a wide range of applications. Ease of use was not an explicit goal of the MPI design process, which emphasized completeness, portability, and performance. Thus it is not surprising that MPI is occasionally criticized for being inconvenient to use and thus a drag on software developer productivity.
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發(fā)表于 2025-3-23 03:41:01 | 只看該作者
to use complexity model seems to be a big challenge. This difficulty can be relieved if the parallel algorithm is designed using a small class of basic communication patterns as building blocks. Our approach is to obtain different formulas to predict the performance of each of these building blocks
10#
發(fā)表于 2025-3-23 06:35:07 | 只看該作者
Fabio Nicola,S. Ivan Trapassorcomputers. In these early days, parallel computing companies implemented proprietary message-passing libraries to support distributed memory parallel programs. At the time, there was also great instability in the market and parallel computing companies could come and go, with their demise taking wi
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