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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Spinors in Hilbert Space

Spinors in Hilbert Space

Plymen, Roger
Robinson, Paul
Bollobas, Bela

Hardcover

Series: Cambridge Tracts in Mathematics, Book 114

AlgebraGeneral MathematicsProbability & Statistics

ISBN10: 0521450225
ISBN13: 9780521450225
Publisher: Cambridge University Press
Published: Dec 1 1994
Pages: 180
Weight: 0.85
Height: 0.64 Width: 6.26 Depth: 9.25
Language: English
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.

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