Spinors in Hilbert Space

Klappentext 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. Zusammenfassung The concept of spinors originated in the quantum mechanical study of electrons. The authors give a definitive self-contained account of the subject! with complete proofs! many of which offer a fresh perspective. It will appeal to a wide audience in mathematics and mathematical physics. Inhaltsverzeichnis Introduction; 1. Clifford algebras; 2. Fock representations; 3. Implementation and equivalence; 4. Spin groups; Appendix; Bibliography; Index.

Produktdetails

• Autoren: Roger Plymen, Roger (University of Manchester) Robinson Plymen, Roger J. Robinson Plymen, Paul Robinson
• Mitarbeit: Bela Bollobas (Herausgeber), Paul Robinson (Herausgeber)
• Verlag: Cambridge University Press ELT
• Sprache: Englisch
• Produktform: Fester Einband
• Erschienen: 01.12.1994
• EAN: 9780521450225
• ISBN: 978-0-521-45022-5
• Seiten: 180
• Serien: Cambridge Tracts in Mathematic; Cambridge Tracts in Mathematic
• Thema: Naturwissenschaften, Medizin, Informatik, Technik > Mathematik > Arithmetik, Algebra