Roger Plymen

Spinors in Hilbert Space

Herausgeber: Bollobas, Bela; Robinson, Paul

• Gebundenes Buch

Produktbeschreibung

Infinite-dimensional Clifford algebras and their Fock representations originated in the quantum physics of the free fermion field. This Tract begins with a definitive account of various Clifford algebras over a real Hilbert space. Chapter 2 contains a detailed account of creators, annihilators, Fock representations and parity. Transformation properties of Fock representation under Bogoliubov automorphisms are discussed in chapter 3: this leads to the restricted orthogonal group. In the final chapter the authors discuss inner Bogoliubov automorphisms and 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.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 180
• Erscheinungstermin: 2. Juli 2010
• Englisch
• Abmessung: 235mm x 157mm x 14mm
• Gewicht: 420g
• ISBN-13: 9780521450225
• ISBN-10: 0521450225
• Artikelnr.: 31188673

Inhaltsangabe

Introduction
1. Clifford algebras
2. Fock representations
3. Implementation and equivalence
4. Spin groups
Appendix
Bibliography
Index.