Andrei Y. Khrennikov

Contextual Approach to Quantum Formalism (eBook, PDF)

• Format: PDF

Produktbeschreibung

Produktdetails

• Verlag: Springer Netherland
• Erscheinungstermin: 21. Mai 2009
• Englisch
• ISBN-13: 9781402095931
• Artikelnr.: 37348803

Autorenporträt

Inhaltsangabe

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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.

Rezensionen

From the reviews:

"In this book the author presents an unorthodox account of quantum probability theory according to which all the latter's key features can be reproduced and brought under a common formalism (known as the 'Växjö model') with classical statistical mechanics by using a formalism based on contextual probability ... . the ideas contained in this book are of potentially very high importance." (Dean Rickles, Mathematical Reviews, Issue 2011 i)