Spinors in Hilbert Space
Book Details
Format
Hardback or Cased Book
Book Series
Cambridge Tracts in Mathematics
ISBN-10
0521450225
ISBN-13
9780521450225
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Dec 1st, 1994
Print length
180 Pages
Weight
414 grams
Dimensions
23.60 x 16.10 x 1.80 cms
Product Classification:
Functional analysis & transformsFunctional analysis and transforms
Ksh 21,800.00
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The concept of spinors originated in the quantum mechanical study of electrons. The authors give a definitive self-contained account of the subject, with complete proofs, many of which offer a fresh perspective. It will appeal to a wide audience in mathematics and mathematical physics.
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. The book will therefore appeal to a wide audience of graduate students and researchers in mathematics and mathematical physics.
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