Spinors in Hilbert space
By: R.J. Plymen, P.L. Robinson.
Contributors: Robinson, P. L. 1958-
Series: Cambridge tracts in mathematics ;
Publisher: Cambridge University Press
Published: 1994
Place of publication: Cambridge [England]; New York, NY, USA
Language: eng
Number of pages: 165
Subjects: Spinor analysis.; Hilbert space.
Description: 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.
Notes: Includes bibliographical references (p. [160]-163) and index.