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Author : Derrick Corson Niederman
Publisher :
ISBN 13 :
Total Pages : 204 pages
Book Rating : 4.:/5 (795 download)
Download or read book Spinors in Hilbert Space and the Infinite Orthogonal Group written by Derrick Corson Niederman and published by . This book was released on 1981 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Roger Plymen
Publisher : Cambridge University Press
ISBN 13 : 9780521450225
Total Pages : 192 pages
Book Rating : 4.4/5 (52 download)
Download or read book Spinors in Hilbert Space written by Roger Plymen and published by Cambridge University Press. This book was released on 1994-12 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: A definitive self-contained account of the subject. Of appeal to a wide audience in mathematics and physics.
Author : Paul Dirac
Publisher : Springer Science & Business Media
ISBN 13 : 1475700342
Total Pages : 97 pages
Book Rating : 4.4/5 (757 download)
Download or read book Spinors in Hilbert Space written by Paul Dirac and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 97 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. Hilbert Space The words "Hilbert space" here will always denote what math ematicians call a separable Hilbert space. It is composed of vectors each with a denumerable infinity of coordinates ql' q2' Q3, .... Usually the coordinates are considered to be complex numbers and each vector has a squared length ~rIQrI2. This squared length must converge in order that the q's may specify a Hilbert vector. Let us express qr in terms of real and imaginary parts, qr = Xr + iYr' Then the squared length is l:.r(x; + y;). The x's and y's may be looked upon as the coordinates of a vector. It is again a Hilbert vector, but it is a real Hilbert vector, with only real coordinates. Thus a complex Hilbert vector uniquely determines a real Hilbert vector. The second vector has, at first sight, twice as many coordinates as the first one. But twice a denumerable in finity is again a denumerable infinity, so the second vector has the same number of coordinates as the first. Thus a complex Hilbert vector is not a more general kind of quantity than a real one.
Author : Rafal Ablamowicz
Publisher : Springer Science & Business Media
ISBN 13 : 9401584222
Total Pages : 428 pages
Book Rating : 4.4/5 (15 download)
Download or read book Clifford Algebras and Spinor Structures written by Rafal Ablamowicz and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is dedicated to the memory of Albert Crumeyrolle, who died on June 17, 1992. In organizing the volume we gave priority to: articles summarizing Crumeyrolle's own work in differential geometry, general relativity and spinors, articles which give the reader an idea of the depth and breadth of Crumeyrolle's research interests and influence in the field, articles of high scientific quality which would be of general interest. In each of the areas to which Crumeyrolle made significant contribution - Clifford and exterior algebras, Weyl and pure spinors, spin structures on manifolds, principle of triality, conformal geometry - there has been substantial progress. Our hope is that the volume conveys the originality of Crumeyrolle's own work, the continuing vitality of the field he influenced, and the enduring respect for, and tribute to, him and his accomplishments in the mathematical community. It isour pleasure to thank Peter Morgan, Artibano Micali, Joseph Grifone, Marie Crumeyrolle and Kluwer Academic Publishers for their help in preparingthis volume.
Author : A. Micali
Publisher : Springer Science & Business Media
ISBN 13 : 9401580901
Total Pages : 509 pages
Book Rating : 4.4/5 (15 download)
Download or read book Clifford Algebras and their Applications in Mathematical Physics written by A. Micali and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Richard V. Kadison
Publisher : American Mathematical Soc.
ISBN 13 : 0821814419
Total Pages : 654 pages
Book Rating : 4.8/5 (218 download)
Download or read book Operator Algebras and Applications, Part 1 written by Richard V. Kadison and published by American Mathematical Soc.. This book was released on 1982 with total page 654 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Moshe Carmeli
Publisher : World Scientific Publishing Company
ISBN 13 : 9813102764
Total Pages : 228 pages
Book Rating : 4.8/5 (131 download)
Download or read book Theory Of Spinors: An Introduction written by Moshe Carmeli and published by World Scientific Publishing Company. This book was released on 2000-04-12 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spinors are used extensively in physics. It is widely accepted that they are more fundamental than tensors, and the easy way to see this is through the results obtained in general relativity theory by using spinors — results that could not have been obtained by using tensor methods only.The foundation of the concept of spinors is groups; spinors appear as representations of groups. This textbook expounds the relationship between spinors and representations of groups. As is well known, spinors and representations are both widely used in the theory of elementary particles.The authors present the origin of spinors from representation theory, but nevertheless apply the theory of spinors to general relativity theory, and part of the book is devoted to curved space-time applications.Based on lectures given at Ben Gurion University, this textbook is intended for advanced undergraduate and graduate students in physics and mathematics, as well as being a reference for researchers.
Author : Gerardo F. Torres del Castillo
Publisher : Springer Science & Business Media
ISBN 13 : 0817649840
Total Pages : 182 pages
Book Rating : 4.8/5 (176 download)
Download or read book Spinors in Four-Dimensional Spaces written by Gerardo F. Torres del Castillo and published by Springer Science & Business Media. This book was released on 2010-07-23 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: Without using the customary Clifford algebras frequently studied in connection with the representations of orthogonal groups, this book gives an elementary introduction to the two-component spinor formalism for four-dimensional spaces with any signature. Some of the useful applications of four-dimensional spinors, such as Yang–Mills theory, are derived in detail using illustrative examples. Spinors in Four-Dimensional Spaces is aimed at graduate students and researchers in mathematical and theoretical physics interested in the applications of the two-component spinor formalism in any four-dimensional vector space or Riemannian manifold with a definite or indefinite metric tensor. This systematic and self-contained book is suitable as a seminar text, a reference book, and a self-study guide.
Author : John C. Baez
Publisher : Princeton University Press
ISBN 13 : 1400862507
Total Pages : 310 pages
Book Rating : 4.4/5 (8 download)
Download or read book Introduction to Algebraic and Constructive Quantum Field Theory written by John C. Baez and published by Princeton University Press. This book was released on 2014-07-14 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors present a rigorous treatment of the first principles of the algebraic and analytic core of quantum field theory. Their aim is to correlate modern mathematical theory with the explanation of the observed process of particle production and of particle-wave duality that heuristic quantum field theory provides. Many topics are treated here in book form for the first time, from the origins of complex structures to the quantization of tachyons and domains of dependence for quantized wave equations. This work begins with a comprehensive analysis, in a universal format, of the structure and characterization of free fields, which is illustrated by applications to specific fields. Nonlinear local functions of both free fields (or Wick products) and interacting fields are established mathematically in a way that is consistent with the basic physical constraints and practice. Among other topics discussed are functional integration, Fourier transforms in Hilbert space, and implementability of canonical transformations. The authors address readers interested in fundamental mathematical physics and who have at least the training of an entering graduate student. A series of lexicons connects the mathematical development with the underlying physical motivation or interpretation. The examples and problems illustrate the theory and relate it to the scientific literature. Originally published in 1992. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Author : Alain Guichardet
Publisher : Springer
ISBN 13 : 3540374558
Total Pages : 203 pages
Book Rating : 4.5/5 (43 download)
Download or read book Symmetric Hilbert Spaces and Related Topics written by Alain Guichardet and published by Springer. This book was released on 2006-11-15 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Elie Cartan
Publisher : Courier Corporation
ISBN 13 : 9780486640709
Total Pages : 198 pages
Book Rating : 4.6/5 (47 download)
Download or read book The Theory of Spinors written by Elie Cartan and published by Courier Corporation. This book was released on 1981-02-01 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: The French mathematician Élie Cartan (1869–1951) was one of the founders of the modern theory of Lie groups, a subject of central importance in mathematics and also one with many applications. In this volume, he describes the orthogonal groups, either with real or complex parameters including reflections, and also the related groups with indefinite metrics. He develops the theory of spinors (he discovered the general mathematical form of spinors in 1913) systematically by giving a purely geometrical definition of these mathematical entities; this geometrical origin makes it very easy to introduce spinors into Riemannian geometry, and particularly to apply the idea of parallel transport to these geometrical entities. The book is divided into two parts. The first is devoted to generalities on the group of rotations in n-dimensional space and on the linear representations of groups, and to the theory of spinors in three-dimensional space. Finally, the linear representations of the group of rotations in that space (of particular importance to quantum mechanics) are also examined. The second part is devoted to the theory of spinors in spaces of any number of dimensions, and particularly in the space of special relativity (Minkowski space). While the basic orientation of the book as a whole is mathematical, physicists will be especially interested in the final chapters treating the applications of spinors in the rotation and Lorentz groups. In this connection, Cartan shows how to derive the "Dirac" equation for any group, and extends the equation to general relativity. One of the greatest mathematicians of the 20th century, Cartan made notable contributions in mathematical physics, differential geometry, and group theory. Although a profound theorist, he was able to explain difficult concepts with clarity and simplicity. In this detailed, explicit treatise, mathematicians specializing in quantum mechanics will find his lucid approach a great value.
Author : Gerardo F. Torres del Castillo
Publisher : Springer Science & Business Media
ISBN 13 : 9780817632496
Total Pages : 330 pages
Book Rating : 4.6/5 (324 download)
Download or read book 3-D Spinors, Spin-Weighted Functions and their Applications written by Gerardo F. Torres del Castillo and published by Springer Science & Business Media. This book was released on 2003-07-25 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book on the theory of three-dimensional spinors and their applications fills an important gap in the literature. It gives an introductory treatment of spinors. From the reviews: "Gathers much of what can be done with 3-D spinors in an easy-to-read, self-contained form designed for applications that will supplement many available spinor treatments. The book...should be appealing to graduate students and researchers in relativity and mathematical physics." -—MATHEMATICAL REVIEWS
Author : Paul Adrien Maurice Dirac
Publisher :
ISBN 13 :
Total Pages : 200 pages
Book Rating : 4.:/5 (458 download)
Download or read book Spinors in Hilbert Space written by Paul Adrien Maurice Dirac and published by . This book was released on 1970 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gian-Carlo Rota
Publisher :
ISBN 13 :
Total Pages : 392 pages
Book Rating : 4.:/5 (49 download)
Download or read book Studies in Algebra and Number Theory written by Gian-Carlo Rota and published by . This book was released on 1979 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Björn Gustafsson
Publisher : Springer Science & Business Media
ISBN 13 : 3764399066
Total Pages : 513 pages
Book Rating : 4.7/5 (643 download)
Download or read book Analysis and Mathematical Physics written by Björn Gustafsson and published by Springer Science & Business Media. This book was released on 2009-10-02 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our knowledge of objects of complex and potential analysis has been enhanced recently by ideas and constructions of theoretical and mathematical physics, such as quantum field theory, nonlinear hydrodynamics, material science. These are some of the themes of this refereed collection of papers, which grew out of the first conference of the European Science Foundation Networking Programme 'Harmonic and Complex Analysis and Applications' held in Norway 2007.
Author : I. G. Macdonald
Publisher : Cambridge University Press
ISBN 13 : 9780521824729
Total Pages : 200 pages
Book Rating : 4.8/5 (247 download)
Download or read book Affine Hecke Algebras and Orthogonal Polynomials written by I. G. Macdonald and published by Cambridge University Press. This book was released on 2003-03-20 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: First account of a theory, created by Macdonald, of a class of orthogonal polynomial, which is related to mathematical physics.
Author : Anatoliĭ Moiseevich Vershik
Publisher : CRC Press
ISBN 13 : 9782881246784
Total Pages : 576 pages
Book Rating : 4.2/5 (467 download)
Download or read book Representation of Lie Groups and Related Topics written by Anatoliĭ Moiseevich Vershik and published by CRC Press. This book was released on 1990 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: Eight papers provide mature readers with careful review of progress (through about 1983) toward the creation of a theory of the representations of infinite-dimensional Lie groups and algebras, and of some related topics. Recent developments in physics have provided major impetus for the development of such a theory, and the volume will be of special interest to mathematical physicists (quantum field theorists). Translated from the Russian edition of unstated date, and beautifully produced (which--at the price--it should be!). Book club price, $118. (NW) Annotation copyrighted by Book News, Inc., Portland, OR
