Advertisement

Ubiquitous Quantum Structure

From Psychology to Finance

  • Andrei Y. Khrennikov

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Andrei Khrennikov
    Pages 1-17
  3. Andrei Khrennikov
    Pages 41-48
  4. Andrei Khrennikov
    Pages 49-64
  5. Andrei Khrennikov
    Pages 65-78
  6. Andrei Khrennikov
    Pages 115-135
  7. Andrei Khrennikov
    Pages 151-170
  8. Andrei Khrennikov
    Pages 171-183
  9. Andrei Khrennikov
    Pages 185-197
  10. Back Matter
    Pages 1-18

About this book

Introduction

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.

Keywords

Cognitive science Contextual probability Interference of contexts Mathematical modes in psychology Mind Models of economy Quantum-like models

Authors and affiliations

  • Andrei Y. Khrennikov
    • 1
  1. 1.International Center for Mathematical, Modeling in Physics and Cognitive SciencUniversity of VäxjöVäxjöSweden

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-05101-2
  • Copyright Information Springer-Verlag Berlin Heidelberg 2010
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-642-05100-5
  • Online ISBN 978-3-642-05101-2
  • Buy this book on publisher's site