Spinors in Hilbert Space

Erscheinungsjahr 2010
ISBN: 978-0-521-45022-5
Verlag: Cambridge University Press

Buch, Englisch, Band 114, 180 Seiten, Format (B × H): 157 mm x 235 mm, Gewicht: 420 g

Reihe: Cambridge Tracts in Mathematics

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.

Autoren/Hrsg.

Plymen, Roger

Robinson, Paul

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik

Inhaltsverzeichnis

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