Linear representations of the Lorentz group /
Saved in:
Main Authors: | |
---|---|
Corporate Authors: | |
Group Author: | |
Published: |
Pergamon Press,
|
Publisher Address: | Oxford ; New York : |
Publication Dates: | 1964. |
Literature type: | eBook |
Language: |
English Russian |
Series: |
International Series in Pure and Applied Mathematics ;
v. 63 |
Subjects: | |
Online Access: |
http://www.sciencedirect.com/science/book/9780080101552 |
Carrier Form: | 1 online resource (xiv, 450 pages). |
Bibliography: | Includes bibliographical references (pages 441-444). |
ISBN: |
9781483184982 1483184986 9780080101552 0080101550 |
Index Number: | QA171 |
CLC: | O152 |
Contents: |
Front Cover; Linear Representations of the Lorentz Group; Copyright Page; Table of Contents; PREFACE; CHAPTER I. THE THREE-DIMENSIONAL ROTATION GROUP AND THE LORENTZ GROUP; 1. The Three-dimensional Rotation Group; 2. The Lorentz Group; CHAPTER II. THE REPRESENTATIONS OF THE THREE-DIMENSIONAL ROTATION GROUP; 3. The Basic Concepts of the Theory of Finite-dimensional Representations; 4. Irreducible Representations of the Three-dimensional Rotation Group in Infinitesimal Form; 5. The Realization of Finite-dimensional Irreducible Representations of the Three-dimensional Rotation Group. 6. The Decomposition of a Given Representation of the Three-dimensional Rotation Group into Irreducible RepresentationsCHAPTER III. IRREDUCIBLE LINEAR REPRESENTATIONS OF THE PROPER AND COMPLETE LORENTZ GROUPS; 7. The Infinitesimal Operators of a Linear Representation of the Proper Lorentz Group; 8. Determination of the Infinitesimal Operators of a Representation of the Group +; 9. The Finite-dimensional Representations of the Proper Lorentz Group; 10. Principal Series of Representations of the Group. 11. Description of the Representations of the Principal Series and of Spinor Representations by means of the Unitary Group 12. Complementary Series of Representations of the Group; 13. The Trace of a Representation of the Principal or Complementary Series; 14. An Analogue of Plancherel's Formula; 15. A Description of all the Completely Irreducible Representations of the Proper Lorentz Group; 16. Description of all the Completely Irreducible Representations of the Complete Lorentz Group; CHAPTER IV. INVARIANT EQUATIONS. 17. Equations Invariant with Respect to Rotations of Three-dimensional Space 18. Equations Invariant with Respect to Proper Lorentz Transformations; 19. Equations Invariant with Respect to Transformations of the Complete Lorentz Group; 20. Equations Derived from an Invariant Lagrangian Function; APPENDIX; REFERENCES; INDEX; VOLUMES PUBLISHED IN THE SERIES IN PURE AND APPLIED MATHEMATICS. |