Quantum Foundations, Probability and Information by Andrei Khrennikov, ISBN-13: 978-3319749709
[PDF eBook eTextbook]
- Publisher: Springer; 1st ed. 2018 edition (June 25, 2018)
- Language: English
- 310 pages
- ISBN-10: 3319749706
- ISBN-13: 978-3319749709
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.
Table of Contents:
The Dirac Equation as One Fourth-Order Equation for One
Function: A General, Manifestly Covariant Form . . . . . . . . . . . . . . . . . . . . . . . 1
Andrey Akhmeteli
At the Crossroads of Three Seemingly Divergent Approaches
to Quantum Mechanics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
Carlos Baladrón and Andrei Khrennikov
Implications of Einstein-Weyl Causality on Quantum Mechanics. . . . . . . . . . 23
D. J. BenDaniel
The Action Reaction Principle in Quantum Mechanics . . . . . . . . . . . . . . . 31
Carlos López
Replacing Nothing with Something Special:
Contextuality-by-Default and Dummy Measurements . . . . . . . . . . . . . . . . . 39
Ehtibar N. Dzhafarov
A Computational Proof of Locality in Entanglement . . . . . . . . . . . .. . . . . . . 45
Han Geurdes
Efficient Energy Transfer in Network Model of Photosynthesis . . . . . . . . . . . . 59
Yuta Mitome, Satoshi Iriyama, Keiko Sato, and Igor V. Volivich
Clockwork Rebooted: Is the Universe a Computer? . . . . . . . . . . . . . . . .. . . . . 71
Gregg Jaeger
External Observer Reflections on QBism, Its Possible Modifications,
and Novel Applications . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . 93
Andrei Khrennikov
Epistemic View of Quantum Communication . . . . . . . . . . . . . . . . .. . . . . 119
Subhash Kak
Quantum Decoherence Emulated in a Classical Device . . . . . . . . . . . . . . . . 129
Brian R. La Cour, Corey I. Ostrove, Michael J. Starkey,
and Granville E. Ott
Local RealismWithout Hidden Variables . . . . . . . . . . . . . . . . . . . . . 141
Ghenadie N. Mardari
Underground Test of Quantum Mechanics: The VIP2 Experiment . . . . . . . . 155
Johann Marton, S. Bartalucci, A. Bassi, M. Bazzi, S. Bertolucci,
C. Berucci, M. Bragadireanu, M. Cargnelli, A. Clozza, C. Curceanu,
L. De Paolis, S. Di Matteo, S. Donadi, J.-P. Egger, C. Guaraldo, M. Iliescu,
M. Laubenstein, E. Milotti, A. Pichler, D. Pietreanu, K. Piscicchia,
A. Scordo, H. Shi, D. Sirghi F. Sirghi, L. Sperandio, O. Vazquez-Doce,
E. Widmann and J. Zmeskal
Feynman Integrals for a New Class of Time-Dependent
Exponentially Growing Potentials. . . . . . . . . . . . . . . . . . . . . . . . . . . 169
Hammah Mohameden and Habib Ouerdiane
Classical Field Theory of the Photoelectric Effect . . . . . . . . . . . . . . . . 197
Sergey A. Rashkovskiy
Classification Problem in a Quantum Framework . . . . . . . . . . . . . . . . . . . 215
Enrica Santucci and Giuseppe Sergioli
On Complexity for Open System Dynamics. . . . . . . . . . . . . . . . . . . 229
Noboru Watanabe
Bell Correlations and the Common Future . . . . . . . . . . . . . . . . . . . . . . 255
Ämin Baumeler, Julien Degorre, and Stefan Wolf
Temporal Vibrations in a Quantized Field . . . . . . . . . . . . . . . . . . . . . . . . 269
Hou Yau
Index . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . 287
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.
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