Spinors in Hilbert space
著者
書誌事項
Spinors in Hilbert space
（Cambridge tracts in mathematics, 114）
Cambridge University Press, 1994
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
- Introduction
- 1. Clifford algebras
- 2. Fock representations
- 3. Implementation and equivalence
- 4. Spin groups
- Appendix
- Bibliography
- Index.
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