Relativistic Theories of Materials

2012-12-06 Philosophy

Author : A. Bressan
Release : 2012-12-06
Genre : Philosophy
Kind : eBook
Book Rating : 205/5 ( reviews)

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Book Synopsis Relativistic Theories of Materials by : A. Bressan

Download or read book Relativistic Theories of Materials written by A. Bressan. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: The theory of relativity was created in 1905 to solve a problem concerning electromagnetic fields. That solution was reached by means of profound changes in fundamental concepts and ideas that considerably affected the whole of physics. Moreover, when Einstein took gravitation into account, he was forced to develop radical changes also in our space-time concepts (1916). Relativistic works on heat, thermodynamics, and elasticity appeared as early as 1911. However, general theories having a thermodynamic basis, including heat conduction and constitutive equations, did not appear in general relativity until about 1955 for fluids and appeared only after 1960 for elastic or more general finitely deformed materials. These theories dealt with materials with memory, and in this connection some relativistic versions of the principle of material indifference were considered. Even more recently, relativistic theories incorporating finite deformations for polarizable and magnetizable materials and those in which couple stresses are considered have been formulated. A broader description of the development of these relativistic topics is contained in § 13. The purpose of this book is to describe the foundations of the general relativistic theories that include constitutive equations, and to present some applications, mainly to elastic waves, of these theories. This tract is divided into two parts. In the first part only the Eulerian point of view is considered; basic equations of general relativity, other than constitutive equations, are stated in full generality (except for couple stresses which are considered in part 2). Part 1 also thoroughly covers fluids, including constitutive equations.

Energy and Mass in Relativity Theory

2009 Science

Author : Lev Borisovi? Oku?
Release : 2009
Genre : Science
Kind : eBook
Book Rating : 124/5 ( reviews)

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Book Synopsis Energy and Mass in Relativity Theory by : Lev Borisovi? Oku?

Download or read book Energy and Mass in Relativity Theory written by Lev Borisovi? Oku?. This book was released on 2009. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book in which Einstein's equation is explicitly compared with its popular though not correct counterpart E = mc2, according to which mass increases with velocity. The book will be of interest to researchers in theoretical, atomic and nuclear physics, to historians of science as well as to students and teachers interested in relativity theory.

Relativistic Many-Body Theory and Statistical Mechanics

2018-05-31 Science

Author : Lawrence P. Horwitz
Release : 2018-05-31
Genre : Science
Kind : eBook
Book Rating : 475/5 ( reviews)

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Book Synopsis Relativistic Many-Body Theory and Statistical Mechanics by : Lawrence P. Horwitz

Download or read book Relativistic Many-Body Theory and Statistical Mechanics written by Lawrence P. Horwitz. This book was released on 2018-05-31. Available in PDF, EPUB and Kindle. Book excerpt: In 1941, E.C.G. Stueckelberg wrote a paper, based on ideas of V. Fock, that established the foundations of a theory that could covariantly describe the classical and quantum relativistic mechanics of a single particle. Horwitz and Piron extended the applicability of this theory in 1973 (to be called the SHP theory) to the many-body problem. It is the purpose of this book to explain this development and provide examples of its applications. We first review the basic ideas of the SHP theory, both classical and quantum, and develop the appropriate form of electromagnetism on this dynamics. After studying the two body problem classically and quantum mechanically, we formulate the N-body problem. We then develop the general quantum scattering theory for the N-body problem and prove a quantum mechanical relativistically covariant form of the Gell-Mann-Low theorem. The quantum theory of relativistic spin is then developed, including spin-statistics, providing the necessary apparatus for Clebsch-Gordan additivity, and we then discuss the phenomenon of entanglement at unequal times. In the second part, we develop relativistic statistical mechanics, including a mechanism for stability of the off-shell mass, and a high temperature phase transition to the mass shell. Finally, some applications are given, such as the explanation of the Lindneret alexperiment, the proposed experiment of Palacios et al which should demonstrate relativistic entanglement (at unequal times), the space-time lattice, low energy nuclear reactions and applications to black hole physics.

Introduction to the Relativistic String Theory

1990 Science

Author : Boris Mikha?lovich Barbashov
Release : 1990
Genre : Science
Kind : eBook
Book Rating : 872/5 ( reviews)

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Book Synopsis Introduction to the Relativistic String Theory by : Boris Mikha?lovich Barbashov

Download or read book Introduction to the Relativistic String Theory written by Boris Mikha?lovich Barbashov. This book was released on 1990. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a systematic and detailed account of the classical and quantum theory of the relativistic string and some of its modifications. Main attention is paid to the first-quantized string theory with possible applications to the string models of hadrons as well as to the superstring approach to unifications of all the fundamental interactions in the elementary particle physics and to the ?cosmic? strings. Some new aspects are provided such as the consideration of the string in an external electromagnetic field and in the space-time of constant curvature (the de Sitter universe), the relativistic string loaded by point-like masses and the Cartan method for describing the classical string dynamics. The relativistic membranes and p-branes are also considered briefly. The book is sufficiently self-contained and can be considered as an introduction to this new and fast developing branch of the elementary particle physics.

General Relativity

2010-05-15 Science

Author : Robert M. Wald
Release : 2010-05-15
Genre : Science
Kind : eBook
Book Rating : 375/5 ( reviews)

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Book Synopsis General Relativity by : Robert M. Wald

Download or read book General Relativity written by Robert M. Wald. This book was released on 2010-05-15. Available in PDF, EPUB and Kindle. Book excerpt: "Wald's book is clearly the first textbook on general relativity with a totally modern point of view; and it succeeds very well where others are only partially successful. The book includes full discussions of many problems of current interest which are not treated in any extant book, and all these matters are considered with perception and understanding."—S. Chandrasekhar "A tour de force: lucid, straightforward, mathematically rigorous, exacting in the analysis of the theory in its physical aspect."—L. P. Hughston, Times Higher Education Supplement "Truly excellent. . . . A sophisticated text of manageable size that will probably be read by every student of relativity, astrophysics, and field theory for years to come."—James W. York, Physics Today

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