Representations of the Rotation and Lorentz Groups and Their Applications
Title | Representations of the Rotation and Lorentz Groups and Their Applications PDF eBook |
Author | I. M. Gelfand |
Publisher | Courier Dover Publications |
Pages | 385 |
Release | 2018-04-18 |
Genre | Science |
ISBN | 0486823857 |
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 Rotation and Lorentz Groups and Their Representations for Physicists
Title | The Rotation and Lorentz Groups and Their Representations for Physicists PDF eBook |
Author | K. Srinivasa Rao |
Publisher | John Wiley & Sons |
Pages | 380 |
Release | 1988 |
Genre | Business & Economics |
ISBN | 9780470210444 |
Here is a detailed, self-contained work on the rotation and Lorentz groups and their representations. Treatment of the structure of the groups is elaborate and includes many new results only recently published in journals. The chapter on linear vector spaces is exhaustive yet clear, and the book highlights the fact that all results of the orthosynchronous proper Lorentz group may be obtained from those of the rotation group via complex quaternions. The approach is unified, and special properties and exceptional cases are addressed.
Representations of the Rotation and Lorentz Groups and Their Applications
Title | Representations of the Rotation and Lorentz Groups and Their Applications PDF eBook |
Author | Izrailʹ Moiseevich Gelʹfand |
Publisher | |
Pages | 0 |
Release | 1963 |
Genre | Group theory |
ISBN |
Representation of the Rotation and Lorentz Groups and Their Applications
Title | Representation of the Rotation and Lorentz Groups and Their Applications PDF eBook |
Author | Izrailʹ M. Gelʹfand |
Publisher | |
Pages | 366 |
Release | 1963 |
Genre | |
ISBN |
Group Theory and General Relativity
Title | Group Theory and General Relativity PDF eBook |
Author | Moshe Carmeli |
Publisher | World Scientific |
Pages | 416 |
Release | 2000 |
Genre | Science |
ISBN | 9781860942341 |
This is the only book on the subject of group theory and Einstein's theory of gravitation. It contains an extensive discussion on general relativity from the viewpoint of group theory and gauge fields. It also puts together in one volume many scattered, original works, on the use of group theory in general relativity theory. There are twelve chapters in the book. The first six are devoted to rotation and Lorentz groups, and their representations. They include the spinor representation as well as the infinite-dimensional representations. The other six chapters deal with the application of groups -- particularly the Lorentz and the SL(2, C) groups -- to the theory of general relativity. Each chapter is concluded with a set of problems. The topics covered range from the fundamentals of general relativity theory, its formulation as an SL(2, C) gauge theory, to exact solutions of the Einstein gravitational field equations. The important Bondi-Metzner-Sachs group, and its representations, conclude the book The entire book is self-contained in both group theory and general relativity theory, and no prior knowledge of either is assumed. The subject of this book constitutes a relevant link between field theoreticians and general relativity theoreticians, who usually work rather independently of each other. The treatise is highly topical and of real interest to theoretical physicists, general relativists and applied mathematicians. It is invaluable to graduate students and research workers in quantum field theory, general relativity and elementary particle theory.
Representations of the Rotation and Lorentz Groups and Their Applications
Title | Representations of the Rotation and Lorentz Groups and Their Applications PDF eBook |
Author | R. A. Minlos |
Publisher | |
Pages | 366 |
Release | 1963 |
Genre | |
ISBN |
Representations of the Rotation and Lorentz Groups
Title | Representations of the Rotation and Lorentz Groups PDF eBook |
Author | Moshe Carmeli |
Publisher | |
Pages | 144 |
Release | 1976 |
Genre | Mathematics |
ISBN |