Items related to Spinors in Hilbert Space: 114 (Cambridge Tracts in...

Spinors in Hilbert Space: 114 (Cambridge Tracts in Mathematics, Series Number 114) - Hardcover

Plymen, Roger; Robinson, Paul

 
9780521450225: Spinors in Hilbert Space: 114 (Cambridge Tracts in Mathematics, Series Number 114)

Synopsis

A definitive self-contained account of the subject. Of appeal to a wide audience in mathematics and physics.

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From the Back Cover

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.

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