Glimm

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Quantum Physics

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Author : J. Glimm
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Quantum Physics written by J. Glimm 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 2012-12-06 with Science categories.

This book is addressed to one problem and to three audiences. The problem is the mathematical structure of modem physics: statistical physics, quantum mechanics, and quantum fields. The unity of mathemati cal structure for problems of diverse origin in physics should be no surprise. For classical physics it is provided, for example, by a common mathematical formalism based on the wave equation and Laplace's equation. The unity transcends mathematical structure and encompasses basic phenomena as well. Thus particle physicists, nuclear physicists, and con densed matter physicists have considered similar scientific problems from complementary points of view. The mathematical structure presented here can be described in various terms: partial differential equations in an infinite number of independent variables, linear operators on infinite dimensional spaces, or probability theory and analysis over function spaces. This mathematical structure of quantization is a generalization of the theory of partial differential equa tions, very much as the latter generalizes the theory of ordinary differential equations. Our central theme is the quantization of a nonlinear partial differential equation and the physics of systems with an infinite number of degrees of freedom. Mathematicians, theoretical physicists, and specialists in mathematical physics are the three audiences to which the book is addressed. Each of the three parts is written with a different scientific perspective.

Glimm

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Author : B. A. Hughes
language : en
Publisher:
Release Date : 2017-09-05

Glimm written by B. A. Hughes and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-05 with categories.

Glimm, A Glimpse of Light Found explores the adventures of tweens and early teens as they uncover everyday mysteries and connections. Written by B. A. Hughes for her own grandchildren, these illuminating stories highlight mystical animals, natural phenomena, and curious kids discovering their unique gifts. Middle school students will find kinship with a lonely cheetah, a talking stone, a persistent rabbit. When the emptiness of ennui and the drudgery of daily life are peeled away, unexpected encounters with nature lead to glimpses of truth. With wonder and beauty everywhere, often hidden in plain sight, darkness fades and light glimmers.

I An Extension Of The Riemann Problems And Glimm S Method To General Systems Of Conservation Laws With Source Terms

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Author : John Meng-Kai Hong
language : en
Publisher:
Release Date : 2000

I An Extension Of The Riemann Problems And Glimm S Method To General Systems Of Conservation Laws With Source Terms written by John Meng-Kai Hong and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with categories.

An Extension Of Glimm S Method To Third Order In Wave Interactions

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Author : Robin Carl Young
language : en
Publisher:
Release Date : 1991

An Extension Of Glimm S Method To Third Order In Wave Interactions written by Robin Carl Young and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with categories.

Wavelets And Renormalization

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Author : Guy Battle
language : en
Publisher: World Scientific
Release Date : 1999-03-03

Wavelets And Renormalization written by Guy Battle and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-03-03 with Mathematics categories.

WAVELETS AND RENORMALIZATION describes the role played by wavelets in Euclidean field theory and classical statistical mechanics. The author begins with a stream-lined introduction to quantum field theory from a rather basic point of view. Functional integrals for imaginary-time-ordered expectations are introduced early and naturally, while the connection with the statistical mechanics of classical spin systems is introduced in a later chapter.A vastly simplified (wavelet) version of the celebrated Glimm-Jaffe construction of the Φ43 quantum field theory is presented. It is due to Battle and Federbush, and it bases an inductively defined cluster expansion on a wavelet decomposition of the Euclidean quantum field. The presentation is reserved for the last chapter, while the more basic aspects of cluster expansions are reviewed in the chapter on classical spin systems.Wavelets themselves are studied from two different points of view arising from two disciplines. The mathematical point of view covers the basic properties of wavelets and methods for constructing well-known wavelets such as Meyer wavelets, Daubechies wavelets, etc. The physical point of view covers the renormalization group formalism, where there is a close connection between wavelets and Gaussian fixed points.The book is heavily mathematical, but avoids the theorem-proof-theorem-proof format in the interests of preserving the flow of the discussion — i.e., it is written in the style of an old-fashioned theoretical physics book, but the major claims are rigorously proven. The minor themes of the book are reflection positivity, the combinatorics of cluster expansions, and the issue of phase transitions — themes which have nothing to do with wavelets, but which provide necessary cultural background for the physical context.

Multidimensional Hyperbolic Problems And Computations

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Author : James Glimm
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Multidimensional Hyperbolic Problems And Computations written by James Glimm 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 2012-12-06 with Mathematics categories.

This IMA Volume in Mathematics and its Applications MULTIDIMENSIONAL HYPERBOLIC PROBLEMS AND COMPUTATIONS is based on the proceedings of a workshop which was an integral part ofthe 1988-89 IMA program on NONLINEAR WAVES. We are grateful to the Scientific Commit tee: James Glimm, Daniel Joseph, Barbara Keyfitz, Andrew Majda, Alan Newell, Peter Olver, David Sattinger and David Schaeffer for planning and implementing an exciting and stimulating year-long program. We especially thank the Work shop Organizers, Andrew Majda and James Glimm, for bringing together many of the major figures in a variety of research fields connected with multidimensional hyperbolic problems. A vner Friedman Willard Miller PREFACE A primary goal of the IMA workshop on Multidimensional Hyperbolic Problems and Computations from April 3-14, 1989 was to emphasize the interdisciplinary nature of contemporary research in this field involving the combination of ideas from the theory of nonlinear partial differential equations, asymptotic methods, numerical computation, and experiments. The twenty-six papers in this volume span a wide cross-section of this research including some papers on the kinetic theory of gases and vortex sheets for incompressible flow in addition to many papers on systems of hyperbolic conservation laws. This volume includes several papers on asymptotic methods such as nonlinear geometric optics, a number of articles applying numerical algorithms such as higher order Godunov methods and front tracking to physical problems along with comparison to experimental data, and also several interesting papers on the rigorous mathematical theory of shock waves.

Shock Waves

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Author : Tai-Ping Liu
language : en
Publisher: American Mathematical Soc.
Release Date : 2021-10-12

Shock Waves written by Tai-Ping Liu and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-12 with Education categories.

This book presents the fundamentals of the shock wave theory. The first part of the book, Chapters 1 through 5, covers the basic elements of the shock wave theory by analyzing the scalar conservation laws. The main focus of the analysis is on the explicit solution behavior. This first part of the book requires only a course in multi-variable calculus, and can be used as a text for an undergraduate topics course. In the second part of the book, Chapters 6 through 9, this general theory is used to study systems of hyperbolic conservation laws. This is a most significant well-posedness theory for weak solutions of quasilinear evolutionary partial differential equations. The final part of the book, Chapters 10 through 14, returns to the original subject of the shock wave theory by focusing on specific physical models. Potentially interesting questions and research directions are also raised in these chapters. The book can serve as an introductory text for advanced undergraduate students and for graduate students in mathematics, engineering, and physical sciences. Each chapter ends with suggestions for further reading and exercises for students.

Extension Of Glimm S Method To The Problem Of Gas Flow In A Duct Of Variable Cross Section

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Author : Simon KaMan Fok
language : en
Publisher:
Release Date : 1980

Extension Of Glimm S Method To The Problem Of Gas Flow In A Duct Of Variable Cross Section written by Simon KaMan Fok and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with categories.

Function Spaces

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Author : Krzysztof Jarosz
language : en
Publisher: American Mathematical Soc.
Release Date : 2007

Function Spaces written by Krzysztof Jarosz and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.

This book consists of contributions by the participants of the Fifth Conference on Function Spaces, held at Southern Illinois University in May of 2006. The papers cover a broad range of topics, including spaces and algebras of analytic functions of one and of many variables (and operators on such spaces), $L{p $-spaces, spaces of Banach-valued functions, isometries of function spaces, geometry of Banach spaces, and other related subjects. The goal of the conference was to bring together mathematicians interested in various problems related to function spaces and to facilitate the exchange of ideas between people working on similar problems. Hence, the majority of papers in this book are accessible to non-experts. Some articles contain expositions of known results and discuss open problems, others contain new results.

Adaptive Mesh Refinement Theory And Applications

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Author : Tomasz Plewa
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-12-08

Adaptive Mesh Refinement Theory And Applications written by Tomasz Plewa 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 2004-12-08 with Mathematics categories.

Advanced numerical simulations that use adaptive mesh refinement (AMR) methods have now become routine in engineering and science. Originally developed for computational fluid dynamics applications these methods have propagated to fields as diverse as astrophysics, climate modeling, combustion, biophysics and many others. The underlying physical models and equations used in these disciplines are rather different, yet algorithmic and implementation issues facing practitioners are often remarkably similar. Unfortunately, there has been little effort to review the advances and outstanding issues of adaptive mesh refinement methods across such a variety of fields. This book attempts to bridge this gap. The book presents a collection of papers by experts in the field of AMR who analyze past advances in the field and evaluate the current state of adaptive mesh refinement methods in scientific computing.