The Mathscr P Varphi 2 Model On De Sitter Space
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The Mathscr P Varphi 2 Model On De Sitter Space
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Author : João C. A. Barata
language : en
Publisher: American Mathematical Society
Release Date : 2023-01-18
The Mathscr P Varphi 2 Model On De Sitter Space written by João C. A. Barata and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-18 with Mathematics categories.
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Cosmology
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Author : Edward Harrison
language : en
Publisher: Cambridge University Press
Release Date : 2000-03-16
Cosmology written by Edward Harrison and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-03-16 with Science categories.
Thoroughly revised and updated introduction to past and present cosmological theory.
The Formation Of Black Holes In General Relativity
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Author : Demetrios Christodoulou
language : en
Publisher: European Mathematical Society
Release Date : 2009
The Formation Of Black Holes In General Relativity written by Demetrios Christodoulou and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Science categories.
In 1965 Penrose introduced the fundamental concept of a trapped surface, on the basis of which he proved a theorem which asserts that a spacetime containing such a surface must come to an end. The presence of a trapped surface implies, moreover, that there is a region of spacetime, the black hole, which is inaccessible to observation from infinity. Since that time a major challenge has been to find out how trapped surfaces actually form, by analyzing the dynamics of gravitational collapse. The present monograph achieves this aim by establishing the formation of trapped surfaces in pure general relativity through the focusing of gravitational waves. The theorems proved in this monograph constitute the first foray into the long-time dynamics of general relativity in the large, that is, when the initial data are no longer confined to a suitable neighborhood of trivial data. The main new method, the short pulse method, applies to general systems of Euler-Lagrange equations of hyperbolic type and provides the means to tackle problems which have hitherto seemed unapproachable. This monograph will be of interest to people working in general relativity, geometric analysis, and partial differential equations.
Mathematical Theory Of Scattering Resonances
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Author : Semyon Dyatlov
language : en
Publisher:
Release Date : 2019
Mathematical Theory Of Scattering Resonances written by Semyon Dyatlov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with Frequencies of oscillating systems categories.
Scattering resonances generalize bound states/eigenvalues for systems in which energy can scatter to infinity. A typical resonance has a rate of oscillation (just as a bound state does) and a rate of decay. Although the notion is intrinsically dynamical, an elegant mathematical formulation comes from considering meromorphic continuations of Green's functions. The poles of these meromorphic continuations capture physical information by identifying the rate of oscillation with the real part of a pole and the rate of decay with its imaginary part. An example from mathematics is given by the zeros.
Operator Algebras And Quantum Statistical Mechanics 1
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Author : Ola Bratteli
language : en
Publisher: Springer Science & Business Media
Release Date : 1987-05-27
Operator Algebras And Quantum Statistical Mechanics 1 written by Ola Bratteli and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-05-27 with Mathematics categories.
This is the first of two volumes presenting the theory of operator algebras with applications to quantum statistical mechanics. The authors' approach to the operator theory is to a large extent governed by the dictates of the physical applications. The book is self-contained and most proofs are presented in detail, which makes it a useful text for students with a knowledge of basic functional analysis. The introductory chapter surveys the history and justification of algebraic techniques in statistical physics and outlines the applications that have been made. The second edition contains new and improved results. The principal changes include: A more comprehensive discussion of dissipative operators and analytic elements; the positive resolution of the question of whether maximal orthogonal probability measure on the state space of C-algebra were automatically maximal along all the probability measures on the space.
Deformations Of Spacetime Symmetries
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Author : Michele Arzano
language : en
Publisher: Springer Nature
Release Date : 2021-06-14
Deformations Of Spacetime Symmetries written by Michele Arzano and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-14 with Science categories.
This monograph provides an introduction to deformations of Poincaré symmetries focusing on models with a Lie group momentum space and associated non-commutative space-times. The emphasis is put on the emergence of such structures from quantum gravity, their mathematical features described in terms of Hopf algebras and applications to particle kinematics and field theory. Part I of this work focuses on the link between gravity and deformed symmetries in the case of 2+1 and 3+1 space-time dimensions. Part II is devoted to the description of classical particles with group valued momenta, their phase spaces and kinematics. The last part of these notes provides an introduction to the basic features of classical and quantum field theory on κ-Minkowski space-time, the prototypical example of non-commutative space-time exhibiting deformed Poincaré symmetry. The text, being the first providing a detailed overview of these topics, is primarily intended for researchers and graduate students interested in non-commutative field theories and quantum gravity phenomenology.
Semi Riemannian Geometry With Applications To Relativity
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Author : Barrett O'Neill
language : en
Publisher: Academic Press
Release Date : 1983-07-29
Semi Riemannian Geometry With Applications To Relativity written by Barrett O'Neill and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983-07-29 with Mathematics categories.
This book is an exposition of semi-Riemannian geometry (also called pseudo-Riemannian geometry)--the study of a smooth manifold furnished with a metric tensor of arbitrary signature. The principal special cases are Riemannian geometry, where the metric is positive definite, and Lorentz geometry. For many years these two geometries have developed almost independently: Riemannian geometry reformulated in coordinate-free fashion and directed toward global problems, Lorentz geometry in classical tensor notation devoted to general relativity. More recently, this divergence has been reversed as physicists, turning increasingly toward invariant methods, have produced results of compelling mathematical interest.
Advances In Geometry And Lie Algebras From Supergravity
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Author : Pietro Giuseppe Frè
language : en
Publisher: Springer
Release Date : 2018-02-24
Advances In Geometry And Lie Algebras From Supergravity written by Pietro Giuseppe Frè and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-24 with Science categories.
This book aims to provide an overview of several topics in advanced differential geometry and Lie group theory, all of them stemming from mathematical problems in supersymmetric physical theories. It presents a mathematical illustration of the main development in geometry and symmetry theory that occurred under the fertilizing influence of supersymmetry/supergravity. The contents are mainly of mathematical nature, but each topic is introduced by historical information and enriched with motivations from high energy physics, which help the reader in getting a deeper comprehension of the subject.
Wave Equations On Lorentzian Manifolds And Quantization
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Author : Christian Bär
language : en
Publisher: European Mathematical Society
Release Date : 2007
Wave Equations On Lorentzian Manifolds And Quantization written by Christian Bär and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
This book provides a detailed introduction to linear wave equations on Lorentzian manifolds (for vector-bundle valued fields). After a collection of preliminary material in the first chapter, one finds in the second chapter the construction of local fundamental solutions together with their Hadamard expansion. The third chapter establishes the existence and uniqueness of global fundamental solutions on globally hyperbolic spacetimes and discusses Green's operators and well-posedness of the Cauchy problem. The last chapter is devoted to field quantization in the sense of algebraic quantum field theory. The necessary basics on $C^*$-algebras and CCR-representations are developed in full detail. The text provides a self-contained introduction to these topics addressed to graduate students in mathematics and physics. At the same time, it is intended as a reference for researchers in global analysis, general relativity, and quantum field theory.
The Internal Constitution Of The Stars
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Author : Sir Arthur Stanley Eddington
language : en
Publisher: Cambridge University Press
Release Date : 1988-01-28
The Internal Constitution Of The Stars written by Sir Arthur Stanley Eddington and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-01-28 with Science categories.
A reissue of a classic work that recognized and established our basis for understanding the nature of the structure and constitution of the stars. Features a preface by S. Chandrasekhar.