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About Spinors in Hilbert Space
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.
Detailed Information
| Author: | Roger Plymen, Paul Robinson |
|---|---|
| Publication Year: | 1994 |
| ISBN: | 9780521450225 |
| Pages: | 180 |
| Language: | English |
| File Size: | 8.774 |
| Format: | |
| Price: | FREE |
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