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Author | Title | Accn# | Year | Item Type | Claims |
| 1 |
Dappiaggi, Claudio |
Hadamard States from Light-like Hypersurfaces |
I09659 |
2017 |
eBook |
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| 2 |
Moretti, Valter |
Fundamental Mathematical Structures of Quantum Theory |
I08589 |
2019 |
eBook |
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| Title | Hadamard States from Light-like Hypersurfaces |
| Author(s) | Dappiaggi, Claudio;Moretti, Valter;Pinamonti, Nicola |
| Publication | Cham, Springer International Publishing, 2017. |
| Description | VIII, 106 p. 2 illus : online resource |
| Abstract Note | This book provides a rather self-contained survey of the construction of Hadamard states for scalar field theories in a large class of notable spacetimes, possessing a (conformal) light-like boundary. The first two sections focus on explaining a few introductory aspects of this topic and on providing the relevant geometric background material. The notions of asymptotically flat spacetimes and of expanding universes with a cosmological horizon are analysed in detail, devoting special attention to the characterization of asymptotic symmetries. In the central part of the book, the quantization of a real scalar field theory on such class of backgrounds is discussed within the framework of algebraic quantum field theory. Subsequently it is explained how it is possible to encode the information of the observables of the theory in a second, ancillary counterpart, which is built directly on the conformal (null) boundary. This procedure, dubbed bulk-to-boundary correspondence, has the net advantage of allowing the identification of a distinguished state for the theory on the boundary, which admits a counterpart in the bulk spacetime which is automatically of Hadamard form. In the last part of the book, some applications of these states are discussed, in particular the construction of the algebra of Wick polynomials. This book is aimed mainly, but not exclusively, at a readership with interest in the mathematical formulation of quantum field theory on curved backgrounds |
| ISBN,Price | 9783319643434 |
| Keyword(s) | 1. ALGEBRA
2. COSMOLOGY
3. EBOOK
4. EBOOK - SPRINGER
5. Field theory (Physics)
6. Field Theory and Polynomials
7. MATHEMATICAL PHYSICS
8. Quantum Field Theories, String Theory
9. QUANTUM FIELD THEORY
10. STRING THEORY
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| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I09659 |
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On Shelf |
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2.
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| Title | Fundamental Mathematical Structures of Quantum Theory : Spectral Theory, Foundational Issues, Symmetries, Algebraic Formulation |
| Author(s) | Moretti, Valter |
| Publication | Cham, Springer International Publishing, 2019. |
| Description | XIII, 337 p. 1 illus : online resource |
| Abstract Note | 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 |
| ISBN,Price | 9783030183462 |
| Keyword(s) | 1. EBOOK
2. EBOOK - SPRINGER
3. Mathematical Methods in Physics
4. MATHEMATICAL PHYSICS
5. PHYSICS
6. QUANTUM PHYSICS
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I08589 |
|
|
On Shelf |
|
|
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