Spinors in Hilbert Space

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Spinors in Hilbert Space

Spinors in Hilbert Space

Name: Spinors in Hilbert Space
ISBN: 9780521450225

Roger Plymen, Paul Robinson

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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.

درجه (قاطیغوری(:

Mathematics

کال:

1994

خپرندویه اداره:

Cambridge University Press

ژبه:

english

صفحه:

180

ISBN 10:

0521450225