Spinors in Hilbert Space

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.

Author: Roger Plymen, Paul Robinson
Publisher: Cambridge University Press
Published: 12/01/1994
Pages: 180
Binding Type: Hardcover
Weight: 0.85lbs
Size: 9.25h x 6.26w x 0.64d
ISBN: 9780521450225

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