Spinors in Hilbert Space (Cambridge Tracts in Mathematics)

By Roger Plymen and 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.

Format:Hardcover

Language:English

ISBN:0521450225

ISBN13:9780521450225

Release Date:January 1995

Publisher:Cambridge University Press

Length:180 Pages

Weight:0.85 lbs.

Dimensions:0.6" x 6.3" x 9.3"

Related Subjects

Algebra Differential Equations Functional Analysis Linear Math Mathematical Analysis Mathematics Probability & Statistics Pure Mathematics Science & Math

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Spinors in Hilbert Space (Cambridge Tracts in Mathematics)

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