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Author:
Publisher:
ISBN:
Category : Nuclear energy
Languages : en
Pages : 1124
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Book Description
Author:
Publisher:
ISBN:
Category : Nuclear energy
Languages : en
Pages : 1124
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Book Description
Author: Yuri Dokshitzer
Publisher: Atlantica Séguier Frontières
ISBN: 9782863321010
Category : Perturbation (Quantum dynamics).
Languages : en
Pages : 286
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Book Description
Author: J.S.R. Chisholm
Publisher: Springer Science & Business Media
ISBN: 9400947283
Category : Mathematics
Languages : en
Pages : 589
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Book Description
William Kingdon Clifford published the paper defining his "geometric algebras" in 1878, the year before his death. Clifford algebra is a generalisation to n-dimensional space of quaternions, which Hamilton used to represent scalars and vectors in real three-space: it is also a development of Grassmann's algebra, incorporating in the fundamental relations inner products defined in terms of the metric of the space. It is a strange fact that the Gibbs Heaviside vector techniques came to dominate in scientific and technical literature, while quaternions and Clifford algebras, the true associative algebras of inner-product spaces, were regarded for nearly a century simply as interesting mathematical curiosities. During this period, Pauli, Dirac and Majorana used the algebras which bear their names to describe properties of elementary particles, their spin in particular. It seems likely that none of these eminent mathematical physicists realised that they were using Clifford algebras. A few research workers such as Fueter realised the power of this algebraic scheme, but the subject only began to be appreciated more widely after the publication of Chevalley's book, 'The Algebraic Theory of Spinors' in 1954, and of Marcel Riesz' Maryland Lectures in 1959. Some of the contributors to this volume, Georges Deschamps, Erik Folke Bolinder, Albert Crumeyrolle and David Hestenes were working in this field around that time, and in their turn have persuaded others of the importance of the subject.
Author: Aleksandr Dmitrievich Dolgov
Publisher: Atlantica Séguier Frontières
ISBN: 9782863320730
Category : Cosmology
Languages : en
Pages : 262
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Book Description
Author: Fernand M. Renard
Publisher: Atlantica Séguier Frontières
ISBN: 9782863320105
Category : Collisions (Nuclear physics)
Languages : en
Pages : 358
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Book Description
Author: Ludwik Marian Celnikier
Publisher: Atlantica Séguier Frontières
ISBN: 9782863320631
Category : Astrophysics
Languages : en
Pages : 422
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Book Description
Author: Pertti Lounesto
Publisher: Cambridge University Press
ISBN: 0521005515
Category : Mathematics
Languages : en
Pages : 352
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Book Description
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: David Hestenes
Publisher: Springer Science & Business Media
ISBN: 9789027725615
Category : Mathematics
Languages : en
Pages : 340
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Book Description
Matrix algebra has been called "the arithmetic of higher mathematics" [Be]. We think the basis for a better arithmetic has long been available, but its versatility has hardly been appreciated, and it has not yet been integrated into the mainstream of mathematics. We refer to the system commonly called 'Clifford Algebra', though we prefer the name 'Geometric Algebra' suggested by Clifford himself. Many distinct algebraic systems have been adapted or developed to express geometric relations and describe geometric structures. Especially notable are those algebras which have been used for this purpose in physics, in particular, the system of complex numbers, the quaternions, matrix algebra, vector, tensor and spinor algebras and the algebra of differential forms. Each of these geometric algebras has some significant advantage over the others in certain applications, so no one of them provides an adequate algebraic structure for all purposes of geometry and physics. At the same time, the algebras overlap considerably, so they provide several different mathematical representations for individual geometrical or physical ideas.
Author: F. Brackx
Publisher: Springer Science & Business Media
ISBN: 9780792370444
Category : Mathematics
Languages : en
Pages : 440
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Book Description
In its traditional form, Clifford analysis provides the function theory for solutions of the Dirac equation. From the beginning, however, the theory was used and applied to problems in other fields of mathematics, numerical analysis, and mathematical physics. recently, the theory has enlarged its scope considerably by incorporating geometrical methods from global analysis on manifolds and methods from representation theory. New, interesting branches of the theory are based on conformally invariant, first-order systems other than the Dirac equation, or systems that are invariant with respect to a group other than the conformal group. This book represents an up-to-date review of Clifford analysis in its present form, its applications, and directions for future research. Readership: Mathematicians and theoretical physicists interested in Clifford analysis itself, or in its applications to other fields.
Author: R.E. Melchers
Publisher: CRC Press
ISBN: 9789054109587
Category : Technology & Engineering
Languages : en
Pages : 148
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Book Description
The future of regulation for integrated risk assessments and core applications are the main theme in a book which gives important insights into the trends that have developed within chemical, process and nuclear plants.
