书目名称 | Contextual Approach to Quantum Formalism |
编辑 | Andrei Khrennikov |
视频video | http://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 |  |
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 |
doi | https://doi.org/10.1007/978-1-4020-9593-1 |
isbn_softcover | 978-90-481-8164-3 |
isbn_ebook | 978-1-4020-9593-1Series ISSN 0168-1222 Series E-ISSN 2365-6425 |
issn_series | 0168-1222 |
copyright | Springer Science+Business Media B.V. 2009 |