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Ubiquitous Quantum Structure From Psychology to Finance

Khrennikov Andrei Y.
Heftet / 2014 / Engelsk

Produktdetaljer

ISBN
9783642424953
Publisert
2014-10-31
Utgiver
Vendor
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Høyde
235 mm
Bredde
155 mm
Aldersnivå
Research, P, 06
Språk
Product language
Engelsk
Format
Product format
Heftet

Forfatter
Khrennikov Andrei Y.

Biographical note

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.

Ubiquitous Quantum Structure From Psychology to Finance

Khrennikov Andrei Y.
Heftet / 2014 / Engelsk
Khrennikov Andrei Y.
Heftet / 2014 / Engelsk
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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.
Les mer
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.
Les mer
Quantum-like Paradigm.- Classical (Kolmogorovian) and Quantum (Born) Probability.- Contextual Probabilistic Model #x2013; V#x00E4;xj#x00F6; Model.- Quantum-like Representation Algorithm #x002D; QLRA.- The Quantum-like Brain.- Experimental Tests of Quantum-like Behavior of the Mind.- Quantum-like Decision Making and Disjunction Effect.- Macroscopic Games and Quantum Logic.- Contextual Approach to Quantum-like Macroscopic Games.- Psycho-financial Model.- The Problem of Smoothness of Bohmian Trajectories.
Les mer
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.
Les mer
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
Les mer

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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.
Les mer
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.
Les mer
Quantum-like Paradigm.- Classical (Kolmogorovian) and Quantum (Born) Probability.- Contextual Probabilistic Model #x2013; V#x00E4;xj#x00F6; Model.- Quantum-like Representation Algorithm #x002D; QLRA.- The Quantum-like Brain.- Experimental Tests of Quantum-like Behavior of the Mind.- Quantum-like Decision Making and Disjunction Effect.- Macroscopic Games and Quantum Logic.- Contextual Approach to Quantum-like Macroscopic Games.- Psycho-financial Model.- The Problem of Smoothness of Bohmian Trajectories.
Les mer
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.
Les mer
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
Les mer

Produktdetaljer

ISBN
9783642424953
Publisert
2014-10-31
Utgiver
Vendor
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Høyde
235 mm
Bredde
155 mm
Aldersnivå
Research, P, 06
Språk
Product language
Engelsk
Format
Product format
Heftet

Forfatter
Khrennikov Andrei Y.

Biographical note

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.

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