Spinors in Hilbert space
Author(s)
Bibliographic Information
Spinors in Hilbert space
（Cambridge tracts in mathematics, 114）
Cambridge University Press, 1994
Available at / 61 libraries
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
dc20:512/p7492070316992
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Note
Includes bibliographical references and index
Description and Table of Contents
Description
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.
Table of Contents
- Introduction
- 1. Clifford algebras
- 2. Fock representations
- 3. Implementation and equivalence
- 4. Spin groups
- Appendix
- Bibliography
- Index.
by "Nielsen BookData"
