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2010, ISBN: 904818164X

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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 probabilisti… Meer...

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Contextual Approach to Quantum Formalism / Andrei Y. Khrennikov / Taschenbuch / xxviii / Englisch / 2010 / Springer Netherland / EAN 9789048181643 - eerste uitgave

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[ED: Taschenbuch], [PU: Springer Netherland], The aim of this book is to show that the probabilistic formalisms of classical statistical mechanics and quantum mechanics can be unified on … Meer...

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Contextual Approach to Quantum Formalism - pocketboek

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Physics; Quantum Physics; Elementary Particles, Quantum Field Theory; Probability Theory and Stochastic Processes; Quantum Information Technology, Spintronics; Complex Systems; Theoretica… Meer...

  - This book aims 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, namely, the Vaxjo model. Verzendingskosten: EUR 0.00
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Contextual Approach to Quantum Formalism (Fundamental Theories of Physics) - pocketboek

2010, ISBN: 904818164X

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Contextual Approach to Quantum Formalism (Fundamental Theories of Physics, Band 160)
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9789048181643


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.

Gedetalleerde informatie over het boek. - Contextual Approach to Quantum Formalism (Fundamental Theories of Physics, Band 160)


EAN (ISBN-13): 9789048181643
ISBN (ISBN-10): 904818164X
Gebonden uitgave
pocket book
Verschijningsjaar: 2010
Uitgever: Springer
384 Bladzijden
Gewicht: 0,579 kg
Taal: eng/Englisch

Boek bevindt zich in het datenbestand sinds 2011-10-09T10:17:58+02:00 (Amsterdam)
Boek voor het laatst gevonden op 2025-02-08T18:33:57+01:00 (Amsterdam)
ISBN/EAN: 9789048181643

ISBN - alternatieve schrijfwijzen:
90-481-8164-X, 978-90-481-8164-3
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Auteur van het boek: khrennikov
Titel van het boek: fundamental theories physics

Gegevens van de uitgever

Auteur: Andrei Y. Khrennikov
Titel: Fundamental Theories of Physics; Contextual Approach to Quantum Formalism
Uitgeverij: Springer; Springer Netherland
354 Bladzijden
Verschijningsjaar: 2010-10-28
Dordrecht; NL
Gedrukt / Gemaakt in
Taal: Engels
160,49 € (DE)
164,99 € (AT)
177,00 CHF (CH)
POD
XXVIII, 354 p.

BC; Hardcover, Softcover / Physik, Astronomie/Theoretische Physik; Quantenphysik (Quantenmechanik und Quantenfeldtheorie); Verstehen; Bell's Inequality; Contextual Probabilistic Model; Contextual Probability; Foundation of Physics; Interference of Probabilities; Observable; Probability distribution; Probability space; Quantum Formalism; Quantum Physics; Quantum Probability; quantum mechanics; statistical model; Quantum Physics; Elementary Particles, Quantum Field Theory; Probability Theory; Spintronics; Complex Systems; Theoretical, Mathematical and Computational Physics; Teilchen- und Hochenergiephysik; Wahrscheinlichkeitsrechnung und Statistik; Stochastik; Materialwissenschaft; Physik der kondensierten Materie (Flüssigkeits- und Festkörperphysik); Kybernetik und Systemtheorie; Mathematische Physik; BB

Quantum and Classical Probability.- Quantum Mechanics: Postulates and Interpretations.- Classical Probability Theories.- Contextual Probability and Quantum-Like Models.- Contextual Probability and Interference.- Quantum-Like Representation of Contextual Probabilistic Model.- Ensemble Representation of Contextual Statistical Model.- Latent Quantum-Like Structure in the Kolmogorov Model.- Interference of Probabilities from Law of Large Numbers.- Bell’s Inequality.- Probabilistic Analysis of Bell’s Argument.- Bell’s Inequality for Conditional Probabilities.- Frequency Probabilistic Analysis of Bell-Type Considerations.- Original EPR-Experiment: Local Realistic Model.- Interrelation between Classical and Quantum Probabilities.- Discrete Time Dynamics.- Noncommutative Probability in Classical Disordered Systems.- Derivation of Schrödinger’s Equation in the Contextual Probabilistic Framework.- Hyperbolic Quantum Mechanics.- Representation of Contextual Statistical Model by Hyperbolic Amplitudes.- Hyperbolic Quantum Mechanics as Deformation of Conventional Classical Mechanics.
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 approach to probability makes the book interesting for both researchers and graduate students. Includes supplementary material: sn.pub/extras
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