Kuranishi Structures and Virtual Fundamental Chains, Fukaya Kenji, Oh Yong-Geun, Ohta Hiroshi

Автор: Moretti Valter
Название: Fundamental Mathematical Structures of Quantum Theory: Spectral Theory, Foundational Issues, Symmetries, Algebraic Formulation
ISBN: 3030183483 ISBN-13(EAN): 9783030183486
Издательство: Springer
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Цена: 8384.00 р.
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Описание: 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.

Автор: Gen Komatsu; Masatake Kuranishi
Название: Analysis and Geometry in Several Complex Variables
ISBN: 1461274419 ISBN-13(EAN): 9781461274414
Издательство: Springer
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Цена: 14673.00 р.
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Автор: Valter Moretti
Название: Fundamental Mathematical Structures of Quantum Theory
ISBN: 3030183459 ISBN-13(EAN): 9783030183455
Издательство: Springer
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Цена: 10480.00 р.
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Описание: 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 facts and 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 so called 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.

Автор: Fukaya, Kenji Oh, Yong-geun Ohta, Hiroshi Ono, Kaoru
Название: Kuranishi structures and virtual fundamental chains
ISBN: 9811555613 ISBN-13(EAN): 9789811555619
Издательство: Springer
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Цена: 18167.00 р.
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Описание: Answering popular demand, the authors now present the current book, in which they provide a detailed, self-contained explanation of the theory of Kuranishi structures. Part I discusses the theory on a single space equipped with Kuranishi structure, called a K-space, and its relevant basic package.

Автор: Louza Felipe A., Gog Simon, Telles Guilherme P.
Название: Construction of Fundamental Data Structures for Strings
ISBN: 3030551075 ISBN-13(EAN): 9783030551070
Издательство: Springer
Цена: 7685.00 р.
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Описание:

- Part I Introduction and Preliminaries

2.2.4 Document Array . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Автор: Williams, Patricia A.
Название: Dewit`S Fundamental Concepts And Skills For Nursing - Text And Virtual Clinical Excursions Online Package
ISBN: 0323429602 ISBN-13(EAN): 9780323429603
Издательство: Elsevier Science
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