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Titlebook: Contextual Approach to Quantum Formalism; Andrei Khrennikov Book 2009 Springer Science+Business Media B.V. 2009 Bell‘s Inequality.Contextu

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书目名称Contextual Approach to Quantum Formalism
编辑Andrei Khrennikov
视频videohttp://file.papertrans.cn/237/236910/236910.mp4
概述This book unifies the probabilistic formalisms of classical statistical mechanics and quantum mechanics and hence clarifies the probabilistic structure of quantum theory..The author’s didactical appro
丛书名称Fundamental Theories of Physics
图书封面Titlebook: Contextual Approach to Quantum Formalism;  Andrei Khrennikov Book 2009 Springer Science+Business Media B.V. 2009 Bell‘s Inequality.Contextu
描述.The aim of this book is to show that the probabilistic formalisms of classical statistical mechanics and quantum mechanics can be unified on the basis of a general contextual probabilistic model. By taking into account the dependence of (classical) probabilities on contexts (i.e. complexes of physical conditions), one can reproduce all distinct features of quantum probabilities such as the interference of probabilities and the violation of Bell’s inequality. Moreover, by starting with a formula for the interference of probabilities (which generalizes the well known classical formula of total probability), one can construct the representation of contextual probabilities by complex probability amplitudes or, in the abstract formalism, by normalized vectors of the complex Hilbert space or its hyperbolic generalization. Thus the Hilbert space representation of probabilities can be naturally derived from classical probabilistic assumptions. An important chapter of the book critically reviews known no-go theorems: the impossibility to establish a finer description of micro-phenomena than provided by quantum mechanics; and, in particular, the commonly accepted consequences of Bell’s theo
出版日期Book 2009
关键词Bell‘s Inequality; Contextual Probabilistic Model; Contextual Probability; Foundation of Physics; Interf
版次1
doihttps://doi.org/10.1007/978-1-4020-9593-1
isbn_softcover978-90-481-8164-3
isbn_ebook978-1-4020-9593-1Series ISSN 0168-1222 Series E-ISSN 2365-6425
issn_series 0168-1222
copyrightSpringer Science+Business Media B.V. 2009
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Original EPR-Experiment: Local Realistic Model of discrete spin variables following to the suggestion of Bohm. In this chapter we present detailed analysis of the space-time structure of the EPR experiment and, in particular, we prove that for the original EPR experiment for the position and momentum the correlations have a local realistic repr
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Discrete Time Dynamicshotons, but even by deterministic particles. The crucial point is that dynamics of particles is discrete time. One can interpret this result either as an artifact of the discrete time approximation of the second Newton law or as a consequence of the fundamental (at the moment purely speculative) pro
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0168-1222 ally reviews known no-go theorems: the impossibility to establish a finer description of micro-phenomena than provided by quantum mechanics; and, in particular, the commonly accepted consequences of Bell’s theo978-90-481-8164-3978-1-4020-9593-1Series ISSN 0168-1222 Series E-ISSN 2365-6425
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