Spinors in Hilbert Space
Part of Cambridge Tracts in Mathematics
- Authors:
- Roger Plymen, University of Manchester
- Paul Robinson, University of Florida
- Date Published: December 1994
- availability: Available
- format: Hardback
- isbn: 9780521450225
Hardback
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Infinite-dimensional Clifford algebras and their Fock representations originated in the quantum mechanical study of electrons. In this book the authors give a definitive account of the various Clifford algebras over a real Hilbert space and of their Fock representations. A careful consideration of the latter's transformation properties under Bogoliubov automorphisms leads to the restricted orthogonal group. From there, a study of inner Bogoliubov automorphisms enables the authors to construct infinite-dimensional spin groups. Apart from assuming a basic background in functional analysis and operator algebras, the presentation is self-contained with complete proofs, many of which offer a fresh perspective on the subject. The book will therefore appeal to a wide audience of graduate students and researchers in mathematics and mathematical physics.
Read more- First book on subject that is mathematically correct
- Can be used as graduate text
- Many new and relatively simple proofs
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×Product details
- Date Published: December 1994
- format: Hardback
- isbn: 9780521450225
- length: 180 pages
- dimensions: 236 x 158 x 16 mm
- weight: 0.394kg
- availability: Available
Table of Contents
Introduction
1. Clifford algebras
2. Fock representations
3. Implementation and equivalence
4. Spin groups
Appendix
Bibliography
Index.
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