Spinors in Hilbert Space

€169.00
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Spinors in Hilbert Space

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Spinors in Hilbert Space

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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. The book will therefore appeal to a wide audience of graduate students and researchers in mathematics and mathematical physics. Language: English
  • Brand: Unbranded
  • Category: Education
  • Artist: Plymen Roger
  • Format: Hardback
  • Language: English
  • Publication Date: 2010/07/02
  • Publisher / Label: Cambridge University Press
  • Number of Pages: 180
  • Fruugo ID: 337976692-741636981
  • ISBN: 9780521450225
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