Spinors Twistors Clifford Algebras And Quantum Deformations

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Spinors, Twistors, Clifford Algebras and Quantum Deformations

Author : Andrzej Borowiec
Publisher : Springer Science & Business Media
ISBN 13 : 9401117195
Total Pages : 433 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Spinors, Twistors, Clifford Algebras and Quantum Deformations by : Andrzej Borowiec

Download or read book Spinors, Twistors, Clifford Algebras and Quantum Deformations written by Andrzej Borowiec and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Clifford Algebras and Spinors

Author : Pertti Lounesto
Publisher : Cambridge University Press
ISBN 13 : 0521005515
Total Pages : 352 pages
Book Rating : 4.5/5 (21 download)

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Book Synopsis Clifford Algebras and Spinors by : Pertti Lounesto

Download or read book Clifford Algebras and Spinors written by Pertti Lounesto and published by Cambridge University Press. This book was released on 2001-05-03 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Clifford Algebras and Spinor Structures

Author : Rafal Ablamowicz
Publisher : Springer Science & Business Media
ISBN 13 : 9401584222
Total Pages : 428 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Clifford Algebras and Spinor Structures by : Rafal Ablamowicz

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.

Clifford Algebras and Their Application in Mathematical Physics

Author : Volker Dietrich
Publisher : Springer Science & Business Media
ISBN 13 : 9401150362
Total Pages : 458 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Clifford Algebras and Their Application in Mathematical Physics by : Volker Dietrich

Download or read book Clifford Algebras and Their Application in Mathematical Physics written by Volker Dietrich and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Clifford Algebras with Numeric and Symbolic Computations

Author : Rafal Ablamowicz
Publisher : Springer Science & Business Media
ISBN 13 : 1461581575
Total Pages : 328 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Clifford Algebras with Numeric and Symbolic Computations by : Rafal Ablamowicz

Download or read book Clifford Algebras with Numeric and Symbolic Computations written by Rafal Ablamowicz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Deformed Spacetime

Author : Fabio Cardone
Publisher : Springer Science & Business Media
ISBN 13 : 1402062834
Total Pages : 499 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Deformed Spacetime by : Fabio Cardone

Download or read book Deformed Spacetime written by Fabio Cardone and published by Springer Science & Business Media. This book was released on 2007-09-04 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a detailed discussion of the mathematical aspects and physical applications of a new geometrical structure of space-time, based on a generalization ("deformation") of the usual Minkowski space, as supposed to be endowed with a metric whose coefficients depend on the energy. This new five-dimensional scheme (Deformed Relativity in Five Dimensions, DR5) represents a true generalization of the usual Kaluza-Klein (KK) formalism.

Clifford Algebras and their Applications in Mathematical Physics

Author : Rafał Abłamowicz
Publisher : Springer Science & Business Media
ISBN 13 : 9780817641832
Total Pages : 346 pages
Book Rating : 4.6/5 (418 download)

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Book Synopsis Clifford Algebras and their Applications in Mathematical Physics by : Rafał Abłamowicz

Download or read book Clifford Algebras and their Applications in Mathematical Physics written by Rafał Abłamowicz and published by Springer Science & Business Media. This book was released on 2000 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second part of a two-volume set concerning the field of Clifford (geometric) algebra, this work consists of thematically organized chapters that provide a broad overview of cutting-edge topics in mathematical physics and the physical applications of Clifford algebras. from applications such as complex-distance potential theory, supersymmetry, and fluid dynamics to Fourier analysis, the study of boundary value problems, and applications, to mathematical physics and Schwarzian derivatives in Euclidean space. Among the mathematical topics examined are generalized Dirac operators, holonomy groups, monogenic and hypermonogenic functions and their derivatives, quaternionic Beltrami equations, Fourier theory under Mobius transformations, Cauchy-Reimann operators, and Cauchy type integrals.

Geometric Algebra for Physicists

Author : Chris Doran
Publisher : Cambridge University Press
ISBN 13 : 1139643142
Total Pages : 647 pages
Book Rating : 4.1/5 (396 download)

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Book Synopsis Geometric Algebra for Physicists by : Chris Doran

Download or read book Geometric Algebra for Physicists written by Chris Doran and published by Cambridge University Press. This book was released on 2007-11-22 with total page 647 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric algebra is a powerful mathematical language with applications across a range of subjects in physics and engineering. This book is a complete guide to the current state of the subject with early chapters providing a self-contained introduction to geometric algebra. Topics covered include new techniques for handling rotations in arbitrary dimensions, and the links between rotations, bivectors and the structure of the Lie groups. Following chapters extend the concept of a complex analytic function theory to arbitrary dimensions, with applications in quantum theory and electromagnetism. Later chapters cover advanced topics such as non-Euclidean geometry, quantum entanglement, and gauge theories. Applications such as black holes and cosmic strings are also explored. It can be used as a graduate text for courses on the physical applications of geometric algebra and is also suitable for researchers working in the fields of relativity and quantum theory.

Spinors In Physics And Geometry

Author : Giuseppe Furlan
Publisher : World Scientific
ISBN 13 : 9814644447
Total Pages : 368 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Spinors In Physics And Geometry by : Giuseppe Furlan

Download or read book Spinors In Physics And Geometry written by Giuseppe Furlan and published by World Scientific. This book was released on 1988-11-01 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This conference brought together physicists and mathematicians working on spinors, which have played an important role in recent research on supersymmetry, Kaluza-Klein theories, twistors and general relativity.

The Arrows of Time

Author : Laura Mersini-Houghton
Publisher : Springer Science & Business Media
ISBN 13 : 3642232590
Total Pages : 223 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis The Arrows of Time by : Laura Mersini-Houghton

Download or read book The Arrows of Time written by Laura Mersini-Houghton and published by Springer Science & Business Media. This book was released on 2012-05-30 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Clifford Algebras and their Applications in Mathematical Physics

Author : Rafal Ablamowicz
Publisher : Springer Science & Business Media
ISBN 13 : 1461213681
Total Pages : 470 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Clifford Algebras and their Applications in Mathematical Physics by : Rafal Ablamowicz

Download or read book Clifford Algebras and their Applications in Mathematical Physics written by Rafal Ablamowicz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Lectures on Clifford (Geometric) Algebras and Applications

Author : Rafal Ablamowicz
Publisher : Springer Science & Business Media
ISBN 13 : 9780817632571
Total Pages : 244 pages
Book Rating : 4.6/5 (325 download)

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Book Synopsis Lectures on Clifford (Geometric) Algebras and Applications by : Rafal Ablamowicz

Download or read book Lectures on Clifford (Geometric) Algebras and Applications written by Rafal Ablamowicz and published by Springer Science & Business Media. This book was released on 2003-11-06 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of Clifford (geometric) algebras offers a unified algebraic framework for the direct expression of the geometric concepts in algebra, geometry, and physics. This bird's-eye view of the discipline is presented by six of the world's leading experts in the field; it features an introductory chapter on Clifford algebras, followed by extensive explorations of their applications to physics, computer science, and differential geometry. The book is ideal for graduate students in mathematics, physics, and computer science; it is appropriate both for newcomers who have little prior knowledge of the field and professionals who wish to keep abreast of the latest applications.

The Ontology of Spacetime

Author :
Publisher : Elsevier
ISBN 13 : 0080461883
Total Pages : 307 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis The Ontology of Spacetime by :

Download or read book The Ontology of Spacetime written by and published by Elsevier. This book was released on 2006-07-10 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains selected papers from the First International Conference on the Ontology of Spacetime. Its fourteen chapters address two main questions: first, what is the current status of the substantivalism/relationalism debate, and second, what about the prospects of presentism and becoming within present-day physics and its philosophy? The overall tenor of the four chapters of the book’s first part is that the prospects of spacetime substantivalism are bleak, although different possible positions remain with respect to the ontological status of spacetime. Part II and Part III of the book are devoted to presentism, eternalism, and becoming, from two different perspectives. In the six chapters of Part II it is argued, in different ways, that relativity theory does not have essential consequences for these issues. It certainly is true that the structure of time is different, according to relativity theory, from the one in classical theory. But that does not mean that a decision is forced between presentism and eternalism, or that becoming has proved to be an impossible concept. It may even be asked whether presentism and eternalism really offer different ontological perspectives at all. The writers of the last four chapters, in Part III, disagree. They argue that relativity theory is incompatible with becoming and presentism. Several of them come up with proposals to go beyond relativity, in order to restore the prospects of presentism. · Space and time in present-day physics and philosophy · Introduction from scratch of the debates surrounding time · Broad spectrum of approaches, coherently represented

Non-commutative and Non-associative Algebra and Analysis Structures

Author : Sergei Silvestrov
Publisher : Springer Nature
ISBN 13 : 3031320093
Total Pages : 833 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Non-commutative and Non-associative Algebra and Analysis Structures by : Sergei Silvestrov

Download or read book Non-commutative and Non-associative Algebra and Analysis Structures written by Sergei Silvestrov and published by Springer Nature. This book was released on 2023-09-25 with total page 833 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of the 2019 conference on Stochastic Processes and Algebraic Structures held in SPAS2019, Västerås, Sweden, from September 30th to October 2nd 2019 was to showcase the frontiers of research in several important topics of mathematics, mathematical statistics, and its applications. The conference has been organized along the following tracks: 1. Stochastic processes and modern statistical methods in theory and practice, 2. Engineering Mathematics, 3. Algebraic Structures and applications. This book highlights the latest advances in algebraic structures and applications focused on mathematical notions, methods, structures, concepts, problems, algorithms, and computational methods for the natural sciences, engineering, and modern technology. In particular, the book features mathematical methods and models from non-commutative and non-associative algebras and rings associated to generalizations of differential calculus, quantum deformations of algebras, Lie algebras, Lie superalgebras, color Lie algebras, Hom-algebras and their n-ary generalizations, semi-groups and group algebras, non-commutative and non-associative algebras and computational algebra interplay with q-special functions and q-analysis, topology, dynamical systems, representation theory, operator theory and functional analysis, applications of algebraic structures in coding theory, information analysis, geometry and probability theory. The book gathers selected, high-quality contributed chapters from several large research communities working on modern algebraic structures and their applications. The chapters cover both theory and applications, and are illustrated with a wealth of ideas, theorems, notions, proofs, examples, open problems, and results on the interplay of algebraic structures with other parts of Mathematics. The applications help readers grasp the material, and encourage them to develop new mathematical methods and concepts in their future research. Presenting new methods and results, reviews of cutting-edge research, open problems, and directions for future research, will serve as a source of inspiration for a broad range of researchers and students.

The Quantum Dice

Author : Luis de la Peña
Publisher : Springer Science & Business Media
ISBN 13 : 940158723X
Total Pages : 519 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis The Quantum Dice by : Luis de la Peña

Download or read book The Quantum Dice written by Luis de la Peña and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 519 pages. Available in PDF, EPUB and Kindle. Book excerpt: In spite of the impressive predictive power and strong mathematical structure of quantum mechanics, the theory has always suffered from important conceptual problems. Some of these have never been solved. Motivated by this state of affairs, a number of physicists have worked together for over thirty years to develop stochastic electrodynamics, a physical theory aimed at finding a conceptually satisfactory, realistic explanation of quantum phenomena. This is the first book to present a comprehensive review of stochastic electrodynamics, from its origins to present-day developments. After a general introduction for the non-specialist, a critical discussion is presented of the main results of the theory as well as of the major problems encountered. A chapter on stochastic optics and some interesting consequences for local realism and the Bell inequalities is included. In the final chapters the authors propose and develop a new version of the theory that brings it in closer correspondence with quantum mechanics and sheds some light on the wave aspects of matter and the linkage with quantum electrodynamics. Audience: The volume will be of interest to scholars and postgraduate students of theoretical and mathematical physics, foundations and philosophy of physics, and teachers of theoretical physics and quantum mechanics, electromagnetic theory, and statistical physics (stochastic processes).

Fundamental Problems in Quantum Physics

Author : M. Ferrero
Publisher : Springer Science & Business Media
ISBN 13 : 9401585296
Total Pages : 372 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Fundamental Problems in Quantum Physics by : M. Ferrero

Download or read book Fundamental Problems in Quantum Physics written by M. Ferrero and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: For many physicists quantum theory contains strong conceptual difficulties, while for others the apparent conclusions about the reality of our physical world and the ways in which we discover that reality remain philosophically unacceptable. This book focuses on recent theoretical and experimental developments in the foundations of quantum physics, including topics such as the puzzles and paradoxes which appear when general relativity and quantum mechanics are combined; the emergence of classical properties from quantum mechanics; stochastic electrodynamics; EPR experiments and Bell's Theorem; the consistent histories approach and the problem of datum uniqueness in quantum mechanics; non-local measurements and teleportation of quantum states; quantum non-demolition measurements in optics and matter wave properties observed by neutron, electron and atomic interferometry. Audience: This volume is intended for graduate students of physics and those interested in the foundations of quantum theory.

Quantum Logic in Algebraic Approach

Author : Miklós Rédei
Publisher : Springer Science & Business Media
ISBN 13 : 9401590265
Total Pages : 244 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Quantum Logic in Algebraic Approach by : Miklós Rédei

Download or read book Quantum Logic in Algebraic Approach written by Miklós Rédei and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has grown out of the lecture notes that were prepared for a series of seminars on some selected topics in quantum logic. The seminars were delivered during the first semester of the 1993/1994 academic year in the Unit for Foundations of Science of the Department of History and Foundations of Mathematics and Science, Faculty of Physics, Utrecht University, The Netherlands, while I was staying in that Unit on a European Community Research Grant, and in the Center for Philosophy of Science, University of Pittsburgh, U. S. A. , where I was staying during the 1994/1995 academic year as a Visiting Fellow on a Fulbright Research Grant, and where I also was supported by the Istvan Szechenyi Scholarship Foundation. The financial support provided by these foundations, by the Center for Philosophy of Science and by the European Community is greatly acknowledged, and I wish to thank D. Dieks, the professor of the Foundations Group in Utrecht and G. Massey, the director of the Center for Philosophy of Science in Pittsburgh for making my stay at the respective institutions possible. I also wish to thank both the members of the Foundations Group in Utrecht, especially D. Dieks, C. Lutz, F. Muller, J. Uffink and P. Vermaas and the participants in the seminars at the Center for Philosophy of Science in Pittsburgh, especially N. Belnap, J. Earman, A. Janis, J. Norton, and J.