Clifford Algebra And Spinor Valued Functions PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Clifford Algebra And Spinor Valued Functions PDF full book. Access full book title Clifford Algebra And Spinor Valued Functions.
Author | : Richard Delanghe |
Publisher | : Springer Science & Business Media |
Total Pages | : 518 |
Release | : 1992 |
Genre | : Mathematics |
ISBN | : |
Download Clifford Algebra and Spinor-valued Functions Book in PDF, ePub and Kindle
This volume describes the substantial developments in Clifford analysis which have taken place during the last decade and, in particular, the role of the spin group in the study of null solutions of real and complexified Dirac and Laplace operators. The book has six main chapters. The first two (chapters 0 and 1) present classical results on real and complex Clifford algebras and show how lower-dimensional real Clifford algebras are well-suited for describing basic geometric notions in Euclidean space. Chapters 2 and 3 illustrate how Clifford analysis extends and refines the computational tools available in complex analysis in the plane or harmonic analysis in space.
Author | : Richard Delanghe |
Publisher | : |
Total Pages | : |
Release | : 1992 |
Genre | : Clifford algebras |
ISBN | : 9780792302292 |
Download Clifford Algebra and Spinor-valued Functions: Disk Book in PDF, ePub and Kindle
Author | : R. Delanghe |
Publisher | : Springer Science & Business Media |
Total Pages | : 501 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9401129223 |
Download Clifford Algebra and Spinor-Valued Functions Book in PDF, ePub and Kindle
This volume describes the substantial developments in Clifford analysis which have taken place during the last decade and, in particular, the role of the spin group in the study of null solutions of real and complexified Dirac and Laplace operators. The book has six main chapters. The first two (Chapters 0 and I) present classical results on real and complex Clifford algebras and show how lower-dimensional real Clifford algebras are well-suited for describing basic geometric notions in Euclidean space. Chapters II and III illustrate how Clifford analysis extends and refines the computational tools available in complex analysis in the plane or harmonic analysis in space. In Chapter IV the concept of monogenic differential forms is generalized to the case of spin-manifolds. Chapter V deals with analysis on homogeneous spaces, and shows how Clifford analysis may be connected with the Penrose transform. The volume concludes with some Appendices which present basic results relating to the algebraic and analytic structures discussed. These are made accessible for computational purposes by means of computer algebra programmes written in REDUCE and are contained on an accompanying floppy disk.
Author | : Pertti Lounesto |
Publisher | : Cambridge University Press |
Total Pages | : 352 |
Release | : 2001-05-03 |
Genre | : Mathematics |
ISBN | : 0521005515 |
Download Clifford Algebras and Spinors Book in PDF, ePub and Kindle
This is the second edition of a popular work offering a unique introduction to Clifford algebras and spinors. The beginning chapters could be read by undergraduates; vectors, complex numbers and quaternions are introduced with an eye on Clifford algebras. The next chapters will also interest physicists, and include treatments of the quantum mechanics of the electron, electromagnetism and special relativity with a flavour of Clifford algebras. This edition has three new chapters, including material on conformal invariance and a history of Clifford algebras.
Author | : Rafal Ablamowicz |
Publisher | : Springer Science & Business Media |
Total Pages | : 635 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461220440 |
Download Clifford Algebras Book in PDF, ePub and Kindle
The invited papers in this volume provide a detailed examination of Clifford algebras and their significance to analysis, geometry, mathematical structures, physics, and applications in engineering. While the papers collected in this volume require that the reader possess a solid knowledge of appropriate background material, they lead to the most current research topics. With its wide range of topics, well-established contributors, and excellent references and index, this book will appeal to graduate students and researchers.
Author | : Rafal Ablamowicz |
Publisher | : Springer Science & Business Media |
Total Pages | : 428 |
Release | : 2013-06-29 |
Genre | : Mathematics |
ISBN | : 9401584222 |
Download Clifford Algebras and Spinor Structures Book in PDF, ePub and Kindle
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 | : Rafal Ablamowicz |
Publisher | : Springer Science & Business Media |
Total Pages | : 470 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461213681 |
Download Clifford Algebras and their Applications in Mathematical Physics Book in PDF, ePub and Kindle
The plausible relativistic physical variables describing a spinning, charged and massive particle are, besides the charge itself, its Minkowski (four) po sition X, its relativistic linear (four) momentum P and also its so-called Lorentz (four) angular momentum E # 0, the latter forming four trans lation invariant part of its total angular (four) momentum M. Expressing these variables in terms of Poincare covariant real valued functions defined on an extended relativistic phase space [2, 7J means that the mutual Pois son bracket relations among the total angular momentum functions Mab and the linear momentum functions pa have to represent the commutation relations of the Poincare algebra. On any such an extended relativistic phase space, as shown by Zakrzewski [2, 7], the (natural?) Poisson bracket relations (1. 1) imply that for the splitting of the total angular momentum into its orbital and its spin part (1. 2) one necessarily obtains (1. 3) On the other hand it is always possible to shift (translate) the commuting (see (1. 1)) four position xa by a four vector ~Xa (1. 4) so that the total angular four momentum splits instead into a new orbital and a new (Pauli-Lubanski) spin part (1. 5) in such a way that (1. 6) However, as proved by Zakrzewski [2, 7J, the so-defined new shifted four a position functions X must fulfill the following Poisson bracket relations: (1.
Author | : Volker Dietrich |
Publisher | : Springer Science & Business Media |
Total Pages | : 458 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9401150362 |
Download Clifford Algebras and Their Application in Mathematical Physics Book in PDF, ePub and Kindle
Clifford Algebras continues to be a fast-growing discipline, with ever-increasing applications in many scientific fields. This volume contains the lectures given at the Fourth Conference on Clifford Algebras and their Applications in Mathematical Physics, held at RWTH Aachen in May 1996. The papers represent an excellent survey of the newest developments around Clifford Analysis and its applications to theoretical physics. Audience: This book should appeal to physicists and mathematicians working in areas involving functions of complex variables, associative rings and algebras, integral transforms, operational calculus, partial differential equations, and the mathematics of physics.
Author | : John Ryan |
Publisher | : Springer Science & Business Media |
Total Pages | : 331 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461213746 |
Download Clifford Algebras and their Applications in Mathematical Physics Book in PDF, ePub and Kindle
Author | : Tao Qian |
Publisher | : Birkhäuser |
Total Pages | : 380 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3034878389 |
Download Advances in Analysis and Geometry Book in PDF, ePub and Kindle
At the heart of Clifford analysis is the study of systems of special partial differential operators that arise naturally from the use of Clifford algebra as a calculus tool. This book focuses on the study of Dirac operators and related ones, together with applications in mathematics, physics and engineering. This book collects refereed papers from a satellite conference to the ICM 2002, plus invited contributions. All articles contain unpublished new results.