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Fundamental Mathematical Structures of Quantum Theory: Spectral Theory, Foundational Issues, Symmetries, Algebraic Formulation
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Hardcover. Condition: Sehr gut. Cham, Springer (2019). gr.8°. XIII, 337 p. Hardbound.- In very good condition.
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Fundamental Mathematical Structures of Quantum Theory : Spectral Theory, Foundational Issues, Symmetries, Algebraic Formulation
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Fundamental Mathematical Structures of Quantum Theory: Spectral Theory, Foundational Issues, Symmetries, Algebraic Formulation
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Fundamental Mathematical Structures of Quantum Theory : Spectral Theory, Foundational Issues, Symmetries, Algebraic Formulation
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Condition: As New. Unread book in perfect condition.
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Fundamental Mathematical Structures of Quantum Theory: Spectral Theory, Foundational Issues, Symmetries, Algebraic Formulation
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Fundamental Mathematical Structures of Quantum Theory : Spectral Theory, Foundational Issues, Symmetries, Algebraic Formulation
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
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Fundamental Mathematical Structures of Quantum Theory : Spectral Theory, Foundational Issues, Symmetries, Algebraic Formulation
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
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Condition: As New. Unread book in perfect condition.
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Fundamental Mathematical Structures of Quantum Theory : Spectral Theory, Foundational Issues, Symmetries, Algebraic Formulation
Published by Springer International Publishing, 2020
ISBN 10: 3030183483 ISBN 13: 9783030183486
Language: English
Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This textbook presents in a concise and self-contained way the advanced fundamental mathematical structures in quantum theory. It is based on lectures prepared for a 6 months course for MSc students. The reader is introduced to the beautiful interconnection between logic, lattice theory, general probability theory, and general spectral theory including the basic theory of von Neumann algebras and of the algebraic formulation, naturally arising in the study of the mathematical machinery of quantum theories. Some general results concerning hidden-variable interpretations of QM such as Gleason's and the Kochen-Specker theorems and the related notions of realism and non-contextuality are carefully discussed. This is done also in relation with the famous Bell (BCHSH) inequality concerning local causality.Written in a didactic style, this book includes many examples and solved exercises.The work is organized as follows. Chapter 1 reviews some elementary factsand properties of quantum systems. Chapter 2 and 3 present the main results of spectral analysis in complex Hilbert spaces. Chapter 4 introduces the point of view of the orthomodular lattices' theory. Quantum theory form this perspective turns out to the probability measure theory on the non-Boolean lattice of elementary observables and Gleason's theorem characterizes all these measures. Chapter 5 deals with some philosophical and interpretative aspects of quantum theory like hidden-variable formulations of QM. The Kochen-Specker theorem and its implications are analyzed also in relation BCHSH inequality, entanglement, realism, locality, and non-contextuality. Chapter 6 focuses on the algebra of observables also in the presence of superselection rules introducing the notion of von Neumann algebra. Chapter 7 offers the idea of (groups of) quantum symmetry, in particular, illustrated in terms of Wigner and Kadison theorems. Chapter 8 deals with the elementary ideas and results of the socalled algebraic formulation of quantum theories in terms of both \*-algebras and C\*-algebras.This book should appeal to a dual readership: on one hand mathematicians that wish to acquire the tools that unlock the physical aspects of quantum theories; on the other physicists eager to solidify their understanding of the mathematical scaffolding of quantum theories.
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Fundamental Mathematical Structures of Quantum Theory | Spectral Theory, Foundational Issues, Symmetries, Algebraic Formulation
Published by Springer International Publishing, 2020
ISBN 10: 3030183483 ISBN 13: 9783030183486
Language: English
Taschenbuch. Condition: Neu. Fundamental Mathematical Structures of Quantum Theory | Spectral Theory, Foundational Issues, Symmetries, Algebraic Formulation | Valter Moretti | Taschenbuch | xiii | Englisch | 2020 | Springer International Publishing | EAN 9783030183486 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.
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Hardcover. Condition: Brand New. 337 pages. 9.50x6.25x1.00 inches. In Stock.
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Hardcover. Condition: New. New. book.
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Fundamental Mathematical Structures of Quantum Theory : Spectral Theory, Foundational Issues, Symmetries, Algebraic Formulation
Published by Springer International Publishing, 2019
ISBN 10: 3030183459 ISBN 13: 9783030183455
Language: English
Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This textbook presents in a concise and self-contained way the advanced fundamental mathematical structures in quantum theory. It is based on lectures prepared for a 6 months course for MSc students. The reader is introduced to the beautiful interconnection between logic, lattice theory, general probability theory, and general spectral theory including the basic theory of von Neumann algebras and of the algebraic formulation, naturally arising in the study of the mathematical machinery of quantum theories. Some general results concerning hidden-variable interpretations of QM such as Gleason's and the Kochen-Specker theorems and the related notions of realism and non-contextuality are carefully discussed. This is done also in relation with the famous Bell (BCHSH) inequality concerning local causality.Written in a didactic style, this book includes many examples and solved exercises.The work is organized as follows. Chapter 1 reviews some elementary factsand properties of quantum systems. Chapter 2 and 3 present the main results of spectral analysis in complex Hilbert spaces. Chapter 4 introduces the point of view of the orthomodular lattices' theory. Quantum theory form this perspective turns out to the probability measure theory on the non-Boolean lattice of elementary observables and Gleason's theorem characterizes all these measures. Chapter 5 deals with some philosophical and interpretative aspects of quantum theory like hidden-variable formulations of QM. The Kochen-Specker theorem and its implications are analyzed also in relation BCHSH inequality, entanglement, realism, locality, and non-contextuality. Chapter 6 focuses on the algebra of observables also in the presence of superselection rules introducing the notion of von Neumann algebra. Chapter 7 offers the idea of (groups of) quantum symmetry, in particular, illustrated in terms of Wigner and Kadison theorems. Chapter 8 deals with the elementary ideas and results of the socalled algebraic formulation of quantum theories in terms of both \*-algebras and C\*-algebras.This book should appeal to a dual readership: on one hand mathematicians that wish to acquire the tools that unlock the physical aspects of quantum theories; on the other physicists eager to solidify their understanding of the mathematical scaffolding of quantum theories.
-
Fundamental Mathematical Structures of Quantum Theory
Published by Springer International Publishing Aug 2020, 2020
ISBN 10: 3030183483 ISBN 13: 9783030183486
Language: English
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This textbook presents in a concise and self-contained way the advanced fundamental mathematical structures in quantum theory. It is based on lectures prepared for a 6 months course for MSc students. The reader is introduced to the beautiful interconnection between logic, lattice theory, general probability theory, and general spectral theory including the basic theory of von Neumann algebras and of the algebraic formulation, naturally arising in the study of the mathematical machinery of quantum theories. Some general results concerning hidden-variable interpretations of QM such as Gleason's and the Kochen-Specker theorems and the related notions of realism and non-contextuality are carefully discussed. This is done also in relation with the famous Bell (BCHSH) inequality concerning local causality.Written in a didactic style, this book includes many examples and solved exercises.The work is organized as follows. Chapter 1 reviews some elementary factsand properties of quantum systems. Chapter 2 and 3 present the main results of spectral analysis in complex Hilbert spaces. Chapter 4 introduces the point of view of the orthomodular lattices' theory. Quantum theory form this perspective turns out to the probability measure theory on the non-Boolean lattice of elementary observables and Gleason's theorem characterizes all these measures. Chapter 5 deals with some philosophical and interpretative aspects of quantum theory like hidden-variable formulations of QM. The Kochen-Specker theorem and its implications are analyzed also in relation BCHSH inequality, entanglement, realism, locality, and non-contextuality. Chapter 6 focuses on the algebra of observables also in the presence of superselection rules introducing the notion of von Neumann algebra. Chapter 7 offers the idea of (groups of) quantum symmetry, in particular, illustrated in terms of Wigner and Kadison theorems. Chapter 8 deals with the elementary ideas and results of the socalled algebraic formulation of quantum theories in terms of both \*-algebras and C\*-algebras.This book should appeal to a dual readership: on one hand mathematicians that wish to acquire the tools that unlock the physical aspects of quantum theories; on the other physicists eager to solidify their understanding of the mathematical scaffolding of quantum theories. 352 pp. Englisch.
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Fundamental Mathematical Structures of Quantum Theory
Published by Springer International Publishing, 2020
ISBN 10: 3030183483 ISBN 13: 9783030183486
Language: English
Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. With many examples and solved exercisesHighlights the interconnection between logic, lattice theory, general probability theory, and general spectral theoryNicely presents together standard ma.
