Spinors in Hilbert Space - Rilegato

Plymen, Roger; Robinson, Paul

Rilegato

ISBN 10: 0521450225 ISBN 13: 9780521450225

Casa editrice: Cambridge University Press, 1994

Riassunto

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.

Su questo libro

Descrizione del libro:

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.

Contenuti:

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

Su questa edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 1994
• ISBN 10: 0521450225
• ISBN 13: 9780521450225
• Rilegatura: Copertina rigida
• Numero di pagine: 180