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Group Actions On Spinors Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Group Actions On Spinors book. This book definitely worth reading, it is an incredibly well-written.
Author : Ludwik Dabrowski
Publisher : Unknown
Page : 150 pages
File Size : 42,9 Mb
Release : 1988
Category : Mathematics
ISBN : UOM:39015028420068
Author : Robin Ticciati
Publisher : Cambridge University Press
Page : 720 pages
File Size : 52,7 Mb
Release : 1999-06-13
Category : Mathematics
ISBN : 9780521632652
This should be a useful reference for anybody with an interest in quantum theory.
Author : Andrzej Borowiec,Bernard Jancewicz,Zbigniew Oziewicz
Publisher : Springer Science & Business Media
Page : 433 pages
File Size : 55,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789401117197
ZBIGNIEW OZIEWICZ University of Wroclaw, Poland December 1992 The First Max Born Symposium in Theoretical and Mathematical Phy sics, organized by the University of Wrodaw, was held in September 1991 with the intent that it would become an annual event. It is the outgrowth of the annual Seminars organized jointly since 1972 with the University of Leipzig. The name of the Symposia was proposed by Professor Jan Lopu szanski. Max Born, an outstanding German theoretical physicist, was born in 1883 in Breslau (the German name of Wrodaw) and educated here. The Second Max Born Symposium was held during the four days 24- 27 September 1992 in an old Sobotka Castle 30 km west of Wrodaw. The Sobotka Castle was built in the eleventh century. The dates engraved on the walls of the Castle are 1024, 1140, and at the last rebuilding, 1885. The castle served as a cloister until the end of the sixteenth century.
Author : Élie Cartan
Publisher : Courier Corporation
Page : 192 pages
File Size : 41,9 Mb
Release : 2012-04-30
Category : Mathematics
ISBN : 9780486137322
Describes orthgonal and related Lie groups, using real or complex parameters and indefinite metrics. Develops theory of spinors by giving a purely geometric definition of these mathematical entities.
Author : Elizabeth A. Tanner,R. Wilson
Publisher : Springer Science & Business Media
Page : 493 pages
File Size : 40,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401110785
During the past two decades representations of noncompact Lie groups and Lie algebras have been studied extensively, and their application to other branches of mathematics and to physical sciences has increased enormously. Several theorems which were proved in the abstract now carry definite mathematical and physical sig nificance. Several physical observations which were not understood before are now explained in terms of models based on new group-theoretical structures such as dy namical groups and Lie supergroups. The workshop was designed to bring together those mathematicians and mathematical physicists who are actively working in this broad spectrum of research and to provide them with the opportunity to present their recent results and to discuss the challenges facing them in the many problems that remain. The objective of the workshop was indeed well achieved. This book contains 31 lectures presented by invited participants attending the NATO Advanced Research Workshop held in San Antonio, Texas, during the week of January 3-8, 1993. The introductory article by the editors provides a brief review of the concepts underlying these lectures (cited by author [*]) and mentions some of their applications. The articles in the book are grouped under the following general headings: Lie groups and Lie algebras, Lie superalgebras and Lie supergroups, and Quantum groups, and are arranged in the order in which they are cited in the introductory article. We are very thankful to Dr.
Author : Eduardo Bayro Corrochano
Publisher : Springer Science & Business Media
Page : 248 pages
File Size : 53,9 Mb
Release : 2011-06-27
Category : Computers
ISBN : 9781461301776
After an introduction to geometric algebra, and the necessary math concepts that are needed, the book examines a variety of applications in the field of cognitive systems using geometric algebra as the mathematical system. There is strong evidence that geobetric albegra can be used to carry out efficient computations at all levels in the cognitive system. Geometric algebra reduces the complexity of algebraic expressions and as a result, it improves algorithms both in speed and accuracy. The book is addressed to a broad audience of computer scientists, cyberneticists, and engineers. It contains computer programs to clarify and demonstrate the importance of geometric algebra in cognitive systems.
Author : Thomas Friedrich
Publisher : American Mathematical Soc.
Page : 213 pages
File Size : 51,5 Mb
Release : 2000
Category : Mathematics
ISBN : 9780821820551
For a Riemannian manifold M, the geometry, topology and analysis are interrelated in ways that have become widely explored in modern mathematics. Bounds on the curvature can have significant implications for the topology of the manifold. The eigenvalues of the Laplacian are naturally linked to the geometry of the manifold. For manifolds that admit spin structures, one obtains further information from equations involving Dirac operators and spinor fields. In the case of four-manifolds, for example, one has the remarkable Seiberg-Witten invariants. In this text, Friedrich examines the Dirac operator on Riemannian manifolds, especially its connection with the underlying geometry and topology of the manifold. The presentation includes a review of Clifford algebras, spin groups and the spin representation, as well as a review of spin structures and $\textrm{spin}mathbb{C}$ structures. With this foundation established, the Dirac operator is defined and studied, with special attention to the cases of Hermitian manifolds and symmetric spaces. Then, certain analytic properties are established, including self-adjointness and the Fredholm property. An important link between the geometry and the analysis is provided by estimates for the eigenvalues of the Dirac operator in terms of the scalar curvature and the sectional curvature. Considerations of Killing spinors and solutions of the twistor equation on M lead to results about whether M is an Einstein manifold or conformally equivalent to one. Finally, in an appendix, Friedrich gives a concise introduction to the Seiberg-Witten invariants, which are a powerful tool for the study of four-manifolds. There is also an appendix reviewing principal bundles and connections. This detailed book with elegant proofs is suitable as a text for courses in advanced differential geometry and global analysis, and can serve as an introduction for further study in these areas. This edition is translated from the German edition published by Vieweg Verlag.
Author : M. Bachir Bekka,Matthias Mayer
Publisher : Cambridge University Press
Page : 214 pages
File Size : 54,8 Mb
Release : 2000-05-11
Category : Mathematics
ISBN : 0521660300
This book, first published in 2000, focuses on developments in the study of geodesic flows on homogenous spaces.
Author : Rafal Ablamowicz,Joseph Parra,Pertti Lounesto
Publisher : Springer Science & Business Media
Page : 328 pages
File Size : 48,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461581574
This edited survey book consists of 20 chapters showing application of Clifford algebra in quantum mechanics, field theory, spinor calculations, projective geometry, Hypercomplex algebra, function theory and crystallography. Many examples of computations performed with a variety of readily available software programs are presented in detail.
Author : Stephen Paul Braham,Jack David Gegenberg,Robert James McKellar
Publisher : American Mathematical Soc.
Page : 400 pages
File Size : 43,5 Mb
Release : 2024-07-02
Category : Science
ISBN : 082188588X
This volume is the refereed proceedings of the Sixth Canadian Conference on General Relativity and Relativistic Astrophysics held in May 1995 at the University of New Brunswick. The book includes invited talks and contributed talks and posters including state-of-the art reviews of many of the most recent important developments in gravitational physics. This book would serve as a good supplement to standard texts on the topic. Features: * Review articles in key areas: black holes, numerical relativity, etc. * Contributions covering most of gravitational physics * Useful articles for students who wish to begin exploring the issues discusses * Invited talks given by researchers known for their ability to communicate their expertise
Author : A. Crumeyrolle
Publisher : Springer Science & Business Media
Page : 364 pages
File Size : 41,5 Mb
Release : 2013-06-29
Category : Science
ISBN : 9789401578776
Author : A. Micali,R. Boudet,J. Helmstetter
Publisher : Springer Science & Business Media
Page : 509 pages
File Size : 40,5 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9789401580908
This volume contains selected papers presented at the Second Workshop on Clifford Algebras and their Applications in Mathematical Physics. These papers range from various algebraic and analytic aspects of Clifford algebras to applications in, for example, gauge fields, relativity theory, supersymmetry and supergravity, and condensed phase physics. Included is a biography and list of publications of Mário Schenberg, who, next to Marcel Riesz, has made valuable contributions to these topics. This volume will be of interest to mathematicians working in the fields of algebra, geometry or special functions, to physicists working on quantum mechanics or supersymmetry, and to historians of mathematical physics.
Author : Laura Mersini-Houghton,Rudy Vaas
Publisher : Springer Science & Business Media
Page : 223 pages
File Size : 53,6 Mb
Release : 2012-05-30
Category : Science
ISBN : 9783642232596
The concept of time has fascinated humanity throughout recorded history, and it remains one of the biggest mysteries in science and philosophy. Time is clearly one of the fundamental building blocks of the universe and thus a deeper understanding of nature at a fundamental level also demands a comprehension of time. Furthermore, the origins of the universe are closely intertwined with the puzzle of time: Did time emerge at the Big Bang? Why does the arrow of time ‘conspire’ with the order of the initial state of the universe? This book addresses many of the most important questions about time: What is time, and is it fundamental or emergent? Why is there such an arrow of time, closely related to the initial state of the universe, and why do the cosmic, thermodynamic and other arrows agree? These issues are discussed here by leading experts, and each offers a new perspective on the debate. Their contributions delve into the most difficult research topic in physics, also describing the latest cutting edge research on the subject. The book also offers readers a comparison between the different outlooks of philosophy, physics and cosmology on the puzzle of time. This volume is intended to be useful for research purposes, but most chapters are also accessible to a more general audience of scientifically educated readers looking for deeper insights.
Author : Eduardo Bayro Corrochano,Garret Sobczyk
Publisher : Springer Science & Business Media
Page : 607 pages
File Size : 42,5 Mb
Release : 2011-06-28
Category : Mathematics
ISBN : 9781461201595
The goal of this book is to present a unified mathematical treatment of diverse problems in mathematics, physics, computer science, and engineer ing using geometric algebra. Geometric algebra was invented by William Kingdon Clifford in 1878 as a unification and generalization of the works of Grassmann and Hamilton, which came more than a quarter of a century before. Whereas the algebras of Clifford and Grassmann are well known in advanced mathematics and physics, they have never made an impact in elementary textbooks where the vector algebra of Gibbs-Heaviside still predominates. The approach to Clifford algebra adopted in most of the ar ticles here was pioneered in the 1960s by David Hestenes. Later, together with Garret Sobczyk, he developed it into a unified language for math ematics and physics. Sobczyk first learned about the power of geometric algebra in classes in electrodynamics and relativity taught by Hestenes at Arizona State University from 1966 to 1967. He still vividly remembers a feeling of disbelief that the fundamental geometric product of vectors could have been left out of his undergraduate mathematics education. Geometric algebra provides a rich, general mathematical framework for the develop ment of multilinear algebra, projective and affine geometry, calculus on a manifold, the representation of Lie groups and Lie algebras, the use of the horosphere and many other areas. This book is addressed to a broad audience of applied mathematicians, physicists, computer scientists, and engineers.
Author : Francois Englert,Philippe Spindel,Marc Henneaux
Publisher : World Scientific
Page : 342 pages
File Size : 54,9 Mb
Release : 1995-01-05
Category : Electronic
ISBN : 9789814550918
This volume focuses on the recent developments of general relativity. On the theoretical side, the main issues addressed are the pressing questions of quantum gravity and related topics: supergravity, string theory, black hole physics, lower and higher dimensional models, geometry and topology. On the experimental side, recent progress in observational cosmology, in the study of structures in the universe and on the dark matter problem are reported.