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STEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health

Quantum Foundations, Probability and Information

Editors: Khrennikov, Andrei, Bourama, Toni (Eds.)

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  • Summarizes the latest research in quantum foundations and mathematical physics
  • Rich with multi-disciplinary mathematical content
  • Illustrates applications of partial differential equations, differential geometry, and oscillatory processes
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eBook $84.99
price for USA in USD (gross)
  • ISBN 978-3-319-74971-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
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  • Immediate eBook download after purchase
Hardcover $109.00
price for USA in USD
  • ISBN 978-3-319-74970-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.00
price for USA in USD
  • ISBN 978-3-030-09116-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

Composed of contributions from leading experts in quantum foundations, this volume presents viewpoints on a number of complex problems through informational, probabilistic, and mathematical perspectives and features novel mathematical models of quantum and subquantum phenomena. Rich with multi-disciplinary mathematical content, this book includes applications of partial differential equations in quantum field theory, differential geometry, oscillatory processes and vibrations, and Feynman integrals for quickly growing potential functions. 
Due to rapid growth in the field in recent years, this volume aims to promote interdisciplinary collaboration in the areas of quantum probability, information, communication and foundation, and mathematical physics. Many papers discuss complex yet novel problems that depart from the mainstream of quantum physical studies. Others devote explanation to fundamental problems of the conventional quantum theory, including its mathematical formalism. Overall, authors cover a diverse set of topics, including quantum and classical field theory and oscillatory processing, quantum mechanics from a Darwinian evolutionary perspective, and biological applications of quantum theory.
Together in one volume, these essays will be useful to experts in the corresponding areas of quantum theory. Theoreticians, experimenters, mathematicians, and even philosophers in quantum physics and quantum probability and information theory can consider this book a valuable resource. 

About the authors

Professor Andrei Khrennikov is the author of roughly 380 papers published in physical and mathematical journals and 18 monographs. He is currently the director of the International Center for Math Modeling in PHysics and Cognitive Science and the head of research at the Mathematical Institute in Linnaeus University. Khrennikov also organizes Quantum and Beyond, a world-famous series of conferences on quantum foundations, quantum information and probability held in Växjö annually.
Bourama Toni is a Professor of Mathematics in the College of Engineering and Technology at Virginia State University. He received his PhD from the University of Montreal, and his research interests include bifurcation theory, abstract differential equations in Banach and Hilbert spaces, quasi-limit cycles, mathematical modeling in biosciences, and game & utility Theory.

Table of contents (19 chapters)

Table of contents (19 chapters)
  • The Dirac Equation as One Fourth-Order Equation for One Function: A General, Manifestly Covariant Form

    Pages 1-11

    Akhmeteli, Andrey

  • At the Crossroads of Three Seemingly Divergent Approaches to Quantum Mechanics

    Pages 13-21

    Baladrón, Carlos (et al.)

  • Implications of Einstein-Weyl Causality on Quantum Mechanics

    Pages 23-29

    BenDaniel, D. J.

  • The Action Reaction Principle in Quantum Mechanics

    Pages 31-38

    López, Carlos

  • Replacing Nothing with Something Special: Contextuality-by-Default and Dummy Measurements

    Pages 39-44

    Dzhafarov, Ehtibar N.

Buy this book

eBook $84.99
price for USA in USD (gross)
  • ISBN 978-3-319-74971-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.00
price for USA in USD
  • ISBN 978-3-319-74970-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.00
price for USA in USD
  • ISBN 978-3-030-09116-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Quantum Foundations, Probability and Information
Editors
  • Andrei Khrennikov
  • Toni Bourama
Series Title
STEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG, part of Springer Nature
eBook ISBN
978-3-319-74971-6
DOI
10.1007/978-3-319-74971-6
Hardcover ISBN
978-3-319-74970-9
Softcover ISBN
978-3-030-09116-3
Series ISSN
2520-193X
Edition Number
1
Number of Pages
XV, 295
Number of Illustrations
11 b/w illustrations, 19 illustrations in colour
Topics