Author: Eric Ralph PaërlPublisher:
ISBN:
Category : Geometry, Projective
Languages : en
Pages : 236
Book Description
Representations of the Lorentz Group and Projective Geometry
Author: Eric Ralph PaërlPublisher:
ISBN:
Category : Geometry, Projective
Languages : en
Pages : 236
Book Description
Representations of the Lorentz Group and Projective Geometry
Author: Eric R. PaërlRepresentations of the Rotation and Lorentz Groups
Author: Moshe CarmeliPublisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 144
Book Description
Linear Representations of the Lorentz Group
Author: M. A. NaimarkPublisher: Elsevier
ISBN: 1483184986
Category : Mathematics
Languages : en
Pages : 465
Book Description
Linear Representations of the Lorentz Group is a systematic exposition of the theory of linear representations of the proper Lorentz group and the complete Lorentz group. This book consists of four chapters. The first two chapters deal with the basic material on the three-dimensional rotation group, on the complete Lorentz group and the proper Lorentz group, as well as the theory of representations of the three-dimensional rotation group. These chapters also provide the necessary basic information from the general theory of group representations. The third chapter is devoted to the representations of the proper Lorentz group and the complete Lorentz group, while the fourth chapter examines the theory of invariant equations. This book will prove useful to mathematicians and students.
Representations of the Rotation and Lorentz Groups and Their Applications
Author: I. M. GelfandPublisher: Courier Dover Publications
ISBN: 0486823857
Category : Science
Languages : en
Pages : 385
Book Description
This monograph on the description and study of representations of the rotation group of three-dimensional space and of the Lorentz group features advanced topics and techniques crucial to many areas of modern theoretical physics. Prerequisites include a familiarity with the differential and integral calculus of several variables and the fundamentals of linear algebra. Suitable for advanced undergraduate and graduate students in mathematical physics, the book is also designed for mathematicians studying the representations of Lie groups, for whom it can serve as an introduction to the general theory of representation. The treatment encompasses all the basic material of the theory of representations used in quantum mechanics. The two-part approach begins with representations of the group of rotations of three-dimensional space, analyzing the rotation group and its representations. The second part, covering representations of the Lorentz group, includes an exploration of relativistic-invariant equations. The text concludes with three helpful supplements and a bibliography.
The Collected Works of Eugene Paul Wigner
Author: Eugene Paul WignerPublisher: Springer Science & Business Media
ISBN: 9783540565604
Category : Mathematics
Languages : en
Pages : 746
Book Description
Eugene Wigner is one of the few giants of 20th-century physics. The present annotated volume begins with a short biographical sketch followed by Wigner's papers on group theory, an extremely powerful tool he created for theoretical quantum physics.
The Collected Works of Eugene Paul Wigner
Author: Publisher: Springer Science & Business Media
ISBN: 366202781X
Category : Mathematics
Languages : en
Pages : 725
Book Description
Eugene Wigner is one of the few giants of 20th-century physics. The present annotated volume begins with a short biographical sketch followed by Wigner's papers on group theory, an extremely powerful tool he created for theoretical quantum physics.
Zero Mass Equations and Projective Geometry
Author: Eric Ralph PaërlPublisher:
ISBN:
Category : Geometry, Projective
Languages : en
Pages : 94
Book Description
Spinors, Twistors, Clifford Algebras and Quantum Deformations
Author: Andrzej BorowiecPublisher: Springer Science & Business Media
ISBN: 9401117195
Category : Science
Languages : en
Pages : 433
Book Description
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.
The Geometry Of The Octonions
Author: Tevian DrayPublisher: World Scientific
ISBN: 9814401838
Category : Mathematics
Languages : en
Pages : 229
Book Description
There are precisely two further generalizations of the real and complex numbers, namely, the quaternions and the octonions. The quaternions naturally describe rotations in three dimensions. In fact, all (continuous) symmetry groups are based on one of these four number systems. This book provides an elementary introduction to the properties of the octonions, with emphasis on their geometric structure. Elementary applications covered include the rotation groups and their spacetime generalization, the Lorentz group, as well as the eigenvalue problem for Hermitian matrices. In addition, more sophisticated applications include the exceptional Lie groups, octonionic projective spaces, and applications to particle physics including the remarkable fact that classical supersymmetry only exists in particular spacetime dimensions.