Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Cambridge University Press eBooks

Quantum Modelling of Economic and Financial Systems

Vikram Athalye, Emmanuel E. Haven

Published Dec 19, 2025• 0 citations
Publisher

Abstract

This concise and self-contained book opens completely novel areas of research by directly implementing concepts from quantum physics into areas of social science. It constructs compelling arguments originating from fundamental concepts in physics and the philosophy of science, including key developments in economics and finance, then surveys the important work which has been performed to date through applying the formalism of quantum mechanics to decision making and finance. The book is accessible to graduate students and researchers in social science and physics, as well as avid interdisciplinary readers. This title is part of the Flip it Open Programme and may also be available Open Access. Check our website Cambridge Core for details.

DOI
10.1017/9781108953177

Related papers

Quantum Social Science

Emmanuel E. Haven, Andrei Yu. Khrennikov

Written by world experts in the foundations of quantum mechanics and its applications to social science, this book shows how elementary quantum mechanical principles can be applied to decision-making paradoxes in psychology and used in modelling information in finance and economics. The book starts with a thorough overview of some of the salient differences between classical, statistical and quantum mechanics. It presents arguments on why quantum mechanics can be applied outside of physics and defines quantum social science. The issue of the existence of quantum probabilistic effects in psychology, economics and finance is addressed and basic questions and answers are provided. Aimed at researchers in economics and psychology, as well as physics, basic mathematical preliminaries and elementary concepts from quantum mechanics are defined in a self-contained way.

Cambridge University Press eBooks•Jan 17, 2013•587 citations

Quantum Concepts in the Social, Ecological and Biological Sciences

Fabio Bagarello

Quantum mechanics is traditionally associated with microscopic systems; however, quantum concepts have also been successfully applied to a diverse range of macroscopic systems both within and outside of physics. This book describes how complex systems from a variety of fields can be modelled using quantum mechanical principles; from biology and ecology, to sociology and decision-making. The mathematical basis of these models is covered in detail, furnishing a self-contained and consistent approach. This book provides unique insight into the dynamics of these macroscopic systems and opens new interdisciplinary research frontiers. It will be an essential resource for students and researchers in applied mathematics or theoretical physics who are interested in applying quantum mechanics to dynamical systems in the social, biological or ecological sciences.

Cambridge University Press eBooks•May 15, 2019•71 citations

Quantum Methods In Social Science: A First Course

Emmanuel E. Haven, Andrei Yu. Khrennikov, T. R. Robinson

Shown here is how basic concepts of physics can be used to improve models in finance, economics, psychology and biology. Readers are introduced to how physical theory can inform non-physical phenomena in the social sciences, thereby improving decision making and modeling capabilities in research-based and professional settings.

•Jan 1, 2017•6 citations

Conclusion

Emmanuel E. Haven, Andrei Yu. Khrennikov

This book had as its main objective to discuss how (quantum) physics concepts could be used in a relevant way in the modeling of a variety of economics/finance and psychology-based processes. For those readers who have come to read this conclusion, without skipping its “backbone,” we would like to say “thank you” for keeping with us until the end. The possible claim, which says that social science driven dynamics would need analyzing with techniques from the natural sciences, may well have been tempered with this book. Although quantum physics as a theory of prediction is one of the most successful theories humankind ever devised, it is not unreasonable to suggest that the number of foundational interpretations of quantum physics is sizable. Consider now the following natural question: “How can a theory with such a wide diversity of foundational interpretations serve to inform and elucidate a non-cognate area of research (like economics or psychology)?” Indeed, we should want to stand upright and write, without hesitation, the words “non-cognate.” No theory in social science can come close to the predictive power of quantum physics. However, very few social science theories are “plagued” by foundational issues of such depth as quantum physics. As an example, consider the issue of why quantum physical wave functions do have to be complex valued. Do physicists have a satisfactory answer to this very basic question? A theory of such predictive power has a partial differential equation, the Schrödinger equation, which cannot be rigorously derived. However, in economics and finance we strive to build theoretical edifices with the utmost respect for rigor.

Cambridge University Press eBooks•Jan 17, 2013•0 citations

Quantum Economics: A General Course

Huilin Zhao

Abstract This is the world’s first general-audience work to systematically rewrite the underlying logic of economics through quantum thinking. Since Adam Smith, economics has rested on the foundation of Newtonian mechanism: human beings are rational atoms skilled at calculation, resources are scarce stocks with fixed attributes, prices tend toward equilibrium, and markets clear automatically. Yet the rise of behavioral economics shattered the myth of homo economicus, and the 2008 financial crisis, platform economies, free goods, asset-price bubbles, and the repeated tug-of-war between inflation and expectations have again and again exposed the limits of the classical framework’s explanatory power. The problem is not that a particular conclusion needs patching; it is that the entire worldview needs updating. This book argues that what quantum mechanics contributes to economics is not a set of fashionable metaphors, but a rigorous intellectual structure for handling multiple coexisting possibilities, observation that participates in generation, relations that precede entities, and a whole that is greater than the sum of its parts. From this perspective, resources are probability clouds of possibility waiting to be activated by cognition, and scarcity is the result of observational collapse; human nature is a superposition of the rational and the irrational; decision-making is measurement rather than revelation; supply and demand are mutually entangled, and prices oscillate around coherent states rather than settling at static equilibrium; money is an entangled carrier of trust, and institutions are the coherent emergence of economic systems. The book consists of an introduction and six parts comprising forty-two chapters. Part I accomplishes the worldview leap from Newton to the quantum; Part II reinterprets individual choice and cost; Part III dissects the entanglement mechanism of supply, demand, and price; Part IV examines money, cycles, and market networks; Part V rebuilds the theory of value and welfare; Part VI leads to the emergent landscape of property rights, policy, and institutional civilization. Each chapter follows a “break before build” approach: first dismantling a widely held classical myth, then offering a more explanatory answer within the quantum framework, supplemented by real cases spanning ancient and modern, Chinese and foreign history, thought experiments, comparative charts, and chapter-end key takeaways, discussion questions, and further reading. With masterful and penetrating prose, the author makes cutting-edge theory accessible and compelling. Whether you are a researcher or graduate student in economics, management, finance, or decision science, or a general reader hoping to see through the workings of wealth, markets, and society, this book will change the lenses through which you view the world—afterward, the economic world will never look the same.

•Oct 21, 2026•0 citations

Quantum Mechanics

Ana Marı́a Cetto, Luis de la Peña

Offering a detailed account of the key concepts and mathematical apparatus of quantum mechanics, this textbook is an ideal companion to both undergraduate and graduate courses. The formal and practical aspects of the subject are explained clearly alongside examples of modern applications, providing students with the tools required to thoroughly understand the theory and apply it. The authors provide an intuitive conceptual framework that is grounded in a coherent physical explanation of quantum phenomena, established over decades of teaching and research in quantum mechanics and its foundations. The book's educational value is enhanced by the inclusion of examples and exercises, with solutions available online, and an extensive bibliography is provided. Notes throughout the text provide fascinating context on the tumultuous history of quantum mechanics, the people that developed it, and the questions that still remain at its center. This title is also available as Open Access on Cambridge Core.

Cambridge University Press eBooks•Dec 18, 2025•1 citation
This concise and self-contained book opens completely novel areas of research by directly implementing concepts from quantum physics into areas of social science. It constructs compelling arguments originating from fundamental concepts in physics and the philosophy of science, including key developments in economics and finance, then surveys the important work which has been performed to date through applying the formalism of quantum mechanics to decision making and finance. The book is accessible to graduate students and researchers in social science and physics, as well as avid interdisciplinary readers. This title is part of the Flip it Open Programme and may also be available Open Access. Check our website Cambridge Core for details.
Written by world experts in the foundations of quantum mechanics and its applications to social science, this book shows how elementary quantum mechanical principles can be applied to decision-making paradoxes in psychology and used in modelling information in finance and economics. The book starts with a thorough overview of some of the salient differences between classical, statistical and quantum mechanics. It presents arguments on why quantum mechanics can be applied outside of physics and defines quantum social science. The issue of the existence of quantum probabilistic effects in psychology, economics and finance is addressed and basic questions and answers are provided. Aimed at researchers in economics and psychology, as well as physics, basic mathematical preliminaries and elementary concepts from quantum mechanics are defined in a self-contained way.
Quantum mechanics is traditionally associated with microscopic systems; however, quantum concepts have also been successfully applied to a diverse range of macroscopic systems both within and outside of physics. This book describes how complex systems from a variety of fields can be modelled using quantum mechanical principles; from biology and ecology, to sociology and decision-making. The mathematical basis of these models is covered in detail, furnishing a self-contained and consistent approach. This book provides unique insight into the dynamics of these macroscopic systems and opens new interdisciplinary research frontiers. It will be an essential resource for students and researchers in applied mathematics or theoretical physics who are interested in applying quantum mechanics to dynamical systems in the social, biological or ecological sciences.
This book had as its main objective to discuss how (quantum) physics concepts could be used in a relevant way in the modeling of a variety of economics/finance and psychology-based processes. For those readers who have come to read this conclusion, without skipping its “backbone,” we would like to say “thank you” for keeping with us until the end. The possible claim, which says that social science driven dynamics would need analyzing with techniques from the natural sciences, may well have been tempered with this book. Although quantum physics as a theory of prediction is one of the most successful theories humankind ever devised, it is not unreasonable to suggest that the number of foundational interpretations of quantum physics is sizable. Consider now the following natural question: “How can a theory with such a wide diversity of foundational interpretations serve to inform and elucidate a non-cognate area of research (like economics or psychology)?” Indeed, we should want to stand upright and write, without hesitation, the words “non-cognate.” No theory in social science can come close to the predictive power of quantum physics. However, very few social science theories are “plagued” by foundational issues of such depth as quantum physics. As an example, consider the issue of why quantum physical wave functions do have to be complex valued. Do physicists have a satisfactory answer to this very basic question? A theory of such predictive power has a partial differential equation, the Schrödinger equation, which cannot be rigorously derived. However, in economics and finance we strive to build theoretical edifices with the utmost respect for rigor.
Abstract This is the world’s first general-audience work to systematically rewrite the underlying logic of economics through quantum thinking. Since Adam Smith, economics has rested on the foundation of Newtonian mechanism: human beings are rational atoms skilled at calculation, resources are scarce stocks with fixed attributes, prices tend toward equilibrium, and markets clear automatically. Yet the rise of behavioral economics shattered the myth of homo economicus, and the 2008 financial crisis, platform economies, free goods, asset-price bubbles, and the repeated tug-of-war between inflation and expectations have again and again exposed the limits of the classical framework’s explanatory power. The problem is not that a particular conclusion needs patching; it is that the entire worldview needs updating. This book argues that what quantum mechanics contributes to economics is not a set of fashionable metaphors, but a rigorous intellectual structure for handling multiple coexisting possibilities, observation that participates in generation, relations that precede entities, and a whole that is greater than the sum of its parts. From this perspective, resources are probability clouds of possibility waiting to be activated by cognition, and scarcity is the result of observational collapse; human nature is a superposition of the rational and the irrational; decision-making is measurement rather than revelation; supply and demand are mutually entangled, and prices oscillate around coherent states rather than settling at static equilibrium; money is an entangled carrier of trust, and institutions are the coherent emergence of economic systems. The book consists of an introduction and six parts comprising forty-two chapters. Part I accomplishes the worldview leap from Newton to the quantum; Part II reinterprets individual choice and cost; Part III dissects the entanglement mechanism of supply, demand, and price; Part IV examines money, cycles, and market networks; Part V rebuilds the theory of value and welfare; Part VI leads to the emergent landscape of property rights, policy, and institutional civilization. Each chapter follows a “break before build” approach: first dismantling a widely held classical myth, then offering a more explanatory answer within the quantum framework, supplemented by real cases spanning ancient and modern, Chinese and foreign history, thought experiments, comparative charts, and chapter-end key takeaways, discussion questions, and further reading. With masterful and penetrating prose, the author makes cutting-edge theory accessible and compelling. Whether you are a researcher or graduate student in economics, management, finance, or decision science, or a general reader hoping to see through the workings of wealth, markets, and society, this book will change the lenses through which you view the world—afterward, the economic world will never look the same.
Offering a detailed account of the key concepts and mathematical apparatus of quantum mechanics, this textbook is an ideal companion to both undergraduate and graduate courses. The formal and practical aspects of the subject are explained clearly alongside examples of modern applications, providing students with the tools required to thoroughly understand the theory and apply it. The authors provide an intuitive conceptual framework that is grounded in a coherent physical explanation of quantum phenomena, established over decades of teaching and research in quantum mechanics and its foundations. The book's educational value is enhanced by the inclusion of examples and exercises, with solutions available online, and an extensive bibliography is provided. Notes throughout the text provide fascinating context on the tumultuous history of quantum mechanics, the people that developed it, and the questions that still remain at its center. This title is also available as Open Access on Cambridge Core.