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Köp båda 2 för 2374 krFrom the reviews: In this book the author presents an unorthodox account of quantum probability theory according to which all the latters key features can be reproduced and brought under a common formalism (known as the Vxj 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)
Prof. Andrei Khrennikov is the director of International center for mathematical modeling in physics, engineering and cognitive science, University of Vxj, Sweden, which was created 8 years ago to perform interdisciplinary research. Two series of conferences on quantum foundations (especially probabilistic aspects) were established on the basis of this center: "Foundations of Probability and Physics" and "Quantum Theory: Reconsideration of Foundations". These series became well known in the quantum community (including quantum information groups). Hundreds of theoreticians (physicists and mathematicians), experimenters and even philosophers participated in these conferences presenting a huge diversity of views to quantum foundations. Contacts with these people played the crucial role in creation of the present book. Prof. Andrei Khrennikov published about 300 papers in internationally recognized journals in mathematics, physics and biology and 9 monographs in p-adic and non-Archimedean analysis with applications to mathematical physics and cognitive sciences as well as foundations of probabilityu theory.
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.- Bells Inequality.- Probabilistic Analysis of Bells Argument.- Bells 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 Schrdingers 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.