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Titlebook: Quantum Measurement; Paul Busch,Pekka Lahti,Kari Ylinen Book 2016 Springer International Publishing Switzerland 2016 Fréchet-Riesz theorem

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發(fā)表于 2025-3-21 18:24:52 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Quantum Measurement
編輯Paul Busch,Pekka Lahti,Kari Ylinen
視頻videohttp://file.papertrans.cn/782/781286/781286.mp4
概述Develops tools for a rigorous approach to central questions of quantum mechanics.Clarifies some Key issues concerning the foundations and interpretation of quantum mechanics.The extensive bibliography
叢書名稱Theoretical and Mathematical Physics
圖書封面Titlebook: Quantum Measurement; Paul Busch,Pekka Lahti,Kari Ylinen Book 2016 Springer International Publishing Switzerland 2016 Fréchet-Riesz theorem
描述.This is a book about the Hilbert space formulation of quantum mechanics and its measurement theory. It contains a synopsis of what became of the Mathematical Foundations of Quantum Mechanics since von Neumann’s classic treatise with this title. Fundamental non-classical features of quantum mechanics—indeterminacy and incompatibility of observables, unavoidable measurement disturbance, entanglement, nonlocality—are explicated and analysed using the tools of operational quantum theory..The book is divided into four parts: 1. Mathematics provides a systematic exposition of the Hilbert space and operator theoretic tools and relevant measure and integration theory leading to the Naimark and Stinespring dilation theorems; 2. Elements develops the basic concepts of quantum mechanics and measurement theory with a focus on the notion of approximate joint measurability; 3. Realisations offers in-depth studies of the fundamental observables of quantum mechanics and some of their measurement implementations; and 4. Foundations discusses a selection of foundational topics (quantum-classical contrast, Bell nonlocality, measurement limitations, measurement problem, operational axioms) from a mea
出版日期Book 2016
關鍵詞Fréchet-Riesz theorem; Hilbert-Schmidt operator class; Riesz-Markov-Kakutani representation theorem; Ca
版次1
doihttps://doi.org/10.1007/978-3-319-43389-9
isbn_softcover978-3-319-82809-1
isbn_ebook978-3-319-43389-9Series ISSN 1864-5879 Series E-ISSN 1864-5887
issn_series 1864-5879
copyrightSpringer International Publishing Switzerland 2016
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Rudiments of Hilbert Space Theoryhort chapter is designed to indicate what sort of basic equipment one needs in the ensuing more sophisticated chapters. At the same time it can be used as an introduction to elementary Hilbert space theory even for the novice. The material is quite standard and appears of course in numerous works, s
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Operator Integrals and Spectral Representations: The Unbounded Casek a more comprehensive approach is used: observables are represented as normalised positive operator measures. We develop the spectral representation theory of generally unbounded selfadjoint operators in this more general setting of positive operator measures, paving the way for important physical
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Miscellaneous Algebraic and Functional Analytic Techniquesdesigned to alleviate this situation. In the sequel we at times need to refer to outside literature for some rather deep tools. This chapter contains some such results, though many statements are given with full proofs.
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States, Effects and Observablesfrom the analysis of an experiment as a preparation-measurement-registration scheme, as sketched in Sect.?.. The description of a physical system . is thus based on the notions of . as equivalence classes of preparations, . as equivalence classes of measurements, and on the . for the possible measur
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Measurementasurement is that of an unambiguous comparison: the object system . in a state is brought into a suitable contact—a .—with another, independently prepared system, the ., from which the . related to the measured observable is . by . the value of the .. It is the task of the quantum theory of measurem
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