Spinors in Hilbert Space
Roger Plymen, Paul Robinson
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.
Categorie:
Anno:
1994
Casa editrice:
Cambridge University Press
Lingua:
english
Pagine:
180
ISBN 10:
0521450225
ISBN 13:
9780521450225
Collana:
Cambridge Tracts in Mathematics 114
File:
PDF, 8.77 MB
IPFS:
,
english, 1994
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