Continuous Groups for Physicists
Continuous Groups for Physicists
Subhash Chaturvedi, Indian institute of Science Education and Research, Bhopal, India
£49.99
GBPContinuous Groups for Physicists is written for graduate students as well as researchers working in the field of theoretical physics. The text has been designed uniquely and it balances coverage of advanced and non-standard topics with an equal focus on the basic concepts for a thorough understanding. The book describes the general theory of Lie groups and Lie algebras, the passage between them, and their unitary/ Hermitian representations in the quantum mechanical setting. The four infinite classical families of compact simple Lie groups and their representations are covered in detail. Readers will benefit from the discussions on topics like spinor representations of real orthogonal groups, the Schwinger representation of a group, induced representations, systems of coherent states, real symplectic groups important in quantum mechanics, Wigner's theorem on symmetry operations in quantum mechanics, ray representations of Lie groups, and groups associated with non-relativistic and relativistic space-time.
- Lucid content representation
- Dedicated chapter on the structures and unitary representations of the Euclidean, Galilei, Lorentz and Poincare groups related to space-time
- Exercises at the end of each chapter to test the understanding of readers
Reviews & endorsements
'… this book is a very useful and very well conceived introductory course to the theory of Lie groups, Lie algebras and their representation theory, mainly intended for theoretical physicists. The style makes the book very readable, with special focus on the physical interpretation, with problems and references that lead the reader to more specialized topics.' Rutwig Campoamor Stursberg, ZB Math
Product details
November 2022Adobe eBook Reader
9781009276382
0 pages
This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
- 1. Basic Group Theory and Representation Theory
- 2. The Symmetric Group
- 3. Rotations in 2 and 3 Dimensions, SU(2)
- 4. General Theory of Lie Groups and Lie Algebras
- 5. Compact Simple Lie Algebras – Classification and Irreducible Representations
- 6. Spinor Representations of the Orthogonal Groups
- 7. Properties of Some Reducible Group Representations, and Systems of Generalised Coherent States
- 8. Structure and some Properties and Applications of the Groups Sp(2n, R)
- 9. Wigner's Theorem, Ray Representations and Neutral Elements
- 10. Groups Related to Space-Time.
