Spinors in Hilbert Space
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.
1100951800
Spinors in Hilbert Space
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.
151.0
In Stock
5
1
Spinors in Hilbert Space
180
Spinors in Hilbert Space
180Hardcover
$151.00
151.0
In Stock
Product Details
| ISBN-13: | 9780521450225 |
|---|---|
| Publisher: | Cambridge University Press |
| Publication date: | 12/01/1994 |
| Series: | Cambridge Tracts in Mathematics , #114 |
| Pages: | 180 |
| Product dimensions: | 6.22(w) x 9.29(h) x 0.63(d) |
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