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bagarello f quantum dynamics classical systems number operator 2012

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Textbook in PDF format Introduces number operators with a focus on the relationship between quantum mechanics and social science Mathematics is increasingly applied to classical problems in finance, biology, economics, and elsewhere. Quantum Dynamics for Classical Systems describes how quantum tools?the number operator in particular?can be used to create dynamical systems in which the variables are operator-valued functions and whose results explain the presented model. The book presents mathematical results and their applications to concrete systems and discusses the methods used, results obtained, and techniques developed for the proofs of the results. The central ideas of number operators are illuminated while avoiding excessive technicalities that are unnecessary for understanding and learning the various mathematical applications. The presented dynamical systems address a variety of contexts and offer clear analyses and explanations of concluded results. Additional features in Quantum Dynamics for Classical Systems include: Applications across diverse fields including stock markets and population migration as well as a unique quantum perspective on these classes of modelsIllustrations of the use of creation and annihilation operators for classical problemsExamples of the recent increase in research and literature on the many applications of quantum tools in applied mathematicsClarification on numerous misunderstandings and misnomers while shedding light on new approaches in the field Quantum Dynamics for Classical Systems is an ideal reference for researchers, professionals, and academics in applied mathematics, economics, physics, biology, and sociology. The book is also excellent for courses in dynamical systems, quantum mechanics, and mathematical models. Why a Quantum Tool in Classical Contexts? Some Preliminaries Love Affairs Migration and Interaction Between Species Levels of Welfare: The Role of Reservoirs An Interlude: Writing the Hamiltonian A First Look at Stock Markets All-in-One Models Models with an External Field Conclusions

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Bagarello F. Quantum Dynamics for Classical Systems...the Number Operator 2012.pdf 17.6 MB

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bagarello f quantum dynamics classical systems number operator 2012

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