Overview
Expounds a new "quantum-inspired" approach to mathematical modeling
Draws attention to structural similarities in diverse fields
Rich source of ideas for further study
Includes supplementary material: sn.pub/extras
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Table of contents (12 chapters)
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Front Matter
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Back Matter
Keywords
About this book
Quantum-like structure is present practically everywhere. Quantum-like (QL) models, i.e. models based on the mathematical formalism of quantum mechanics and its generalizations can be successfully applied to cognitive science, psychology, genetics, economics, finances, and game theory.
This book is not about quantum mechanics as a physical theory. The short review of quantum postulates is therefore mainly of historical value: quantum mechanics is just the first example of the successful application of non-Kolmogorov probabilities, the first step towards a contextual probabilistic description of natural, biological, psychological, social, economical or financial phenomena. A general contextual probabilistic model (Växjö model) is presented. It can be used for describing probabilities in both quantum and classical (statistical) mechanics as well as in the above mentioned phenomena. This model can be represented in a quantum-like way, namely, in complex and more general Hilbert spaces. In this way quantum probability is totally demystified: Born's representation of quantum probabilities by complex probability amplitudes, wave functions, is simply a special representation of this type.
Authors and Affiliations
About the author
Professor Khrennikov works actively in quantum foundations concentrating his research on such fundamental problems as inter-relation of quantum and classical probability, quantum nonlocality, Bell’s inequality, interference of probabilities. He was one of the first in the world who started to apply quantum mathematics outside physics – in psychology, cognitive science, genetics, economy and finances. He published about 300 papers in the most prestigious journals in physics, mathematics, biology, psychology, finances, cognitive science. He is the author of 11 monographs on foundations of probability, quantum physics, p-adic and non-Archimedean analysis and their applications. Since 2001, Prof. Khrennikov is the director of The International Center for Mathematical Modeling in Physics and Cognitive Science, University of Vaxjo Sweden. This center has already organized 10 conferences on foundations of probability and quantum physics, workshops on quantum psychology and quantum finances.
Bibliographic Information
Book Title: Ubiquitous Quantum Structure
Book Subtitle: From Psychology to Finance
Authors: Andrei Y. Khrennikov
DOI: https://doi.org/10.1007/978-3-642-05101-2
Publisher: Springer Berlin, Heidelberg
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2010
Hardcover ISBN: 978-3-642-05100-5Published: 12 February 2010
Softcover ISBN: 978-3-642-42495-3Published: 31 October 2014
eBook ISBN: 978-3-642-05101-2Published: 23 January 2010
Edition Number: 1
Number of Pages: XIII, 216
Topics: Quantum Physics, Probability Theory and Stochastic Processes, Economic Theory/Quantitative Economics/Mathematical Methods