Lectures On Deformation Quantisation: From Moyal Product To Kontsevich's Formality Theorem - Couverture rigide
Synopsis
This book provides an introduction to the study of dynamic general equilibrium economic models: time can either be modelled in a discrete or continuous fashion, and the environment may be either deterministic or stochastic — this generality accommodates both business cycle and economic growth modelling. The purpose of the book is to teach first the tools employed in modern macroeconomic theory and second the topics most often encountered in macroeconomic debate. While the focus of the textbook is on macroeconomic modelling, the tools that are employed can also be applied to other fields in economics; for example, natural resource and environmental economics and industrial organization. Throughout the text the reader is exposed to both methodology and applications — the scope and reach of a reader's own modelling is of course entirely a function of her own ingenuity with economic questions of interest.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
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Lectures On Deformation Quantization: From Moyal Product To Kontsevich's Formality Theorem
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Lectures On Deformation Quantisation: From Moyal Product To Kontsevich's Formality Theorem (Peking University Series in Mathematics)
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Lectures On Deformation Quantization: From Moyal Product To Kontsevich's Formality Theorem
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ISBN 10 : 9811297800
ISBN 13 : 9789811297809
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Lectures On Deformation Quantisation: From Moyal Product To Kontsevich's Formality Theorem (Peking University Series in Mathematics)
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Lectures On Deformation Quantization: From Moyal Product To Kontsevich's Formality Theorem
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WSPC, 2025
ISBN 10 : 9811297800
ISBN 13 : 9789811297809
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Lectures On Deformation Quantization: From Moyal Product To Kontsevich's Formality Theorem
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Lectures On Deformation Quantisation: From Moyal Product To Kontsevich's Formality Theorem
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World Scientific Publishing Co Pte Ltd, SG, 2025
ISBN 10 : 9811297800
ISBN 13 : 9789811297809
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Hardback. Etat : New. Principles of classical Hamiltonian mechanics say that the evolution of a dynamical system is determined by the Poisson bracket of observable functions with the given Hamiltonian function of the system. In Quantum Mechanics, these principles are modified so that the algebra of observable functions should be replaced by a noncommutative algebra of operators and the Poisson bracket by their commutator so that the canonical commutation relations hold. Thus, working with quantum systems, we must determine the "quantisation" of our observables, i.e. to choose a noncommutative algebra whose elements would play the role of the observables. With some modifications, this question is the main content of the Deformation Quantisation problem formulated in 1978 by Flato and others.This book is based on the course that the author taught in the Fall semester of 2019 at Peking University. The main purpose of that course and of this book is to acquaint the reader with the vast scope of ideas related to the Deformation Quantisation of Poisson manifolds. The book begins with Quantum Mechanics and Moyal product formula and covers the three main constructions that solve the Deformation Quantisation problem: Lecomte and de Wilde deformation of symplectic manifolds, Fedosov's Quantisation theory and Kontsevich's formality theorem. In the appendices, the Tamarkin's proof of formality theorem is outlined.The book is written in a reader-friendly manner and is as self-contained as possible. It includes several sets of problems and exercises that will help the reader to master the material. N° de réf. du vendeur LU-9789811297809
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Lectures On Deformation Quantisation: From Moyal Product To Kontsevich's Formality Theorem: 8 (Peking University Series In Mathematics)
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ISBN 13 : 9789811297809
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LECTURES ON DEFORMATION QUANTISATION
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World Scientific, 2025
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ISBN 13 : 9789811297809
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Buch. Etat : Neu. LECTURES ON DEFORMATION QUANTISATION | Sharygin Georgy Igorevich | Buch | Englisch | 2025 | World Scientific | EAN 9789811297809 | Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, 36244 Bad Hersfeld, gpsr[at]libri[dot]de | Anbieter: preigu Print on Demand. N° de réf. du vendeur 133347573
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Lectures On Deformation Quantisation: From Moyal Product To Kontsevich's Formality Theorem (Hardcover)
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World Scientific Publishing Co Pte Ltd, Singapore, 2025
ISBN 10 : 9811297800
ISBN 13 : 9789811297809
Neuf
Couverture rigide
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Hardcover. Etat : new. Hardcover. Principles of classical Hamiltonian mechanics say that the evolution of a dynamical system is determined by the Poisson bracket of observable functions with the given Hamiltonian function of the system. In Quantum Mechanics, these principles are modified so that the algebra of observable functions should be replaced by a noncommutative algebra of operators and the Poisson bracket by their commutator so that the canonical commutation relations hold. Thus, working with quantum systems, we must determine the 'quantisation' of our observables, i.e. to choose a noncommutative algebra whose elements would play the role of the observables. With some modifications, this question is the main content of the Deformation Quantisation problem formulated in 1978 by Flato and others.This book is based on the course that the author taught in the Fall semester of 2019 at Peking University. The main purpose of that course and of this book is to acquaint the reader with the vast scope of ideas related to the Deformation Quantisation of Poisson manifolds. The book begins with Quantum Mechanics and Moyal product formula and covers the three main constructions that solve the Deformation Quantisation problem: Lecomte and de Wilde deformation of symplectic manifolds, Fedosov's Quantisation theory and Kontsevich's formality theorem. In the appendices, the Tamarkin's proof of formality theorem is outlined.The book is written in a reader-friendly manner and is as self-contained as possible. It includes several sets of problems and exercises that will help the reader to master the material. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. N° de réf. du vendeur 9789811297809
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