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Titlebook: Coherent States, Wavelets, and Their Generalizations; Syed Twareque Ali,Jean-Pierre Antoine,Jean-Pierre Book 2014Latest edition Springer

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书目名称Coherent States, Wavelets, and Their Generalizations
编辑Syed Twareque Ali,Jean-Pierre Antoine,Jean-Pierre
视频videohttp://file.papertrans.cn/230/229226/229226.mp4
概述Allows the user to take a classical (non-quantum) view of quantum states in physics.Discusses particular new types of coherent states and various generalizations of wavelets with fully updated coverag
丛书名称Theoretical and Mathematical Physics
图书封面Titlebook: Coherent States, Wavelets, and Their Generalizations;  Syed Twareque Ali,Jean-Pierre Antoine,Jean-Pierre  Book 2014Latest edition Springer
描述.This second edition is fully updated, covering in particular new types of coherent states (the so-called Gazeau-Klauder coherent states, nonlinear coherent states, squeezed states, as used now routinely in quantum optics) and various generalizations of wavelets (wavelets on manifolds, curvelets, shearlets, etc.). In addition, it contains a new chapter on coherent state quantization and the related probabilistic aspects. As a survey of the theory of coherent states, wavelets, and some of their generalizations, it emphasizes mathematical principles, subsuming the theories of both wavelets and coherent states into a single analytic structure. The approach allows the user to take a classical-like view of quantum states in physics..Starting from the standard theory of coherent states over Lie groups, the authors generalize the formalism by associating coherent states to group representations that are square integrable over a homogeneous space; a further step allows one to dispense with the group context altogether. In this context, wavelets can be generated from coherent states of the affine group of the real line, and higher-dimensional wavelets arise from coherent states of other gro
出版日期Book 2014Latest edition
关键词Canonical coherent states; Coherent states; Lie groups; Probabilistic aspects; Quantum measurement probl
版次2
doihttps://doi.org/10.1007/978-1-4614-8535-3
isbn_softcover978-1-4939-5025-6
isbn_ebook978-1-4614-8535-3Series ISSN 1864-5879 Series E-ISSN 1864-5887
issn_series 1864-5879
copyrightSpringer Science+Business Media New York 2014
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Sensorische Kurzaktivierung im Pflegealltagstart with continuous frames and introduce two generalizations, called upper, resp. lower, semi-frames, for which only the upper, resp. lower, frame bound is satisfied. Then we turn to the more familiar discrete frames and their generalizations.
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Sensorische Kurzaktivierung im Pflegealltagble kernels and to holomorphic kernels. The first case is illustrated by the construction of CS on the circle. This example suggests introducing action-angle variables, which are then used to extend the theory to a non-holomorphic set-up, namely, the so-called Gazeau–Klauder CS. The latter in turn l
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Sensorische Kurzaktivierung im Pflegealltagtions. Then we study a particular class of semidirect product groups, namely, groups of the form ., where . is an .-dimensional closed subgroup of GL.. Several concrete examples are presented. Finally we generalize the theory to representations that are only square integrable on a homogeneous space.
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Sensorische Anfallsdetektion bei Epilepsie-Klauder-Toeplitz quantization, and more generally coherent states quantization are particular (and mostly manageable) cases of this approach, and we work out some illuminating examples of them. We particularly insist on the probabilistic aspects appearing at each stage of our quantization procedure
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