Contextual Approach to Quantum Formalism is popular PDF and ePub book, written by Andrei Y. Khrennikov in 2009-05-21, it is a fantastic choice for those who relish reading online the Science genre. Let's immerse ourselves in this engaging Science book by exploring the summary and details provided below. Remember, Contextual Approach to Quantum Formalism can be Read Online from any device for your convenience.
Contextual Approach to Quantum Formalism Book PDF Summary
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 theorem (including quantum non-locality). Also, possible applications of the contextual probabilistic model and its quantum-like representation in complex Hilbert spaces in other fields (e.g. in cognitive science and psychology) are discussed.
Detail Book of Contextual Approach to Quantum Formalism PDF
- Author : Andrei Y. Khrennikov
- Release : 21 May 2009
- Publisher : Springer Science & Business Media
- ISBN : 9781402095931
- Genre : Science
- Total Page : 354 pages
- Language : English
- PDF File Size : 15,7 Mb
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