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Spinors in Hilbert Space Cambridge Tracts in Mathematics Series Number 114

by [Plymen, Roger, Robinson, Paul]

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Description

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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Product Details

  • Cambridge University Pres Brand
  • Jan 27, 1995 Pub Date:
  • 9780521450225 ISBN-13:
  • 0521450225 ISBN-10:
  • 180.0 pages Hardcover
  • English Language
  • 6.75 in * 0.75 in * 9.25 in Dimensions:
  • 1 lb Weight: