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Spinors in Hilbert Space

Spinors in Hilbert Space

$112.00 (C)

Part of Cambridge Tracts in Mathematics

  • Date Published: January 1995
  • availability: Available
  • format: Hardback
  • isbn: 9780521450225

$ 112.00 (C)
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About the Authors
  • 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.

    • First book on subject that is mathematically correct
    • Can be used as graduate text
    • Many new and relatively simple proofs
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    Product details

    • Date Published: January 1995
    • format: Hardback
    • isbn: 9780521450225
    • length: 180 pages
    • dimensions: 229 x 152 x 14 mm
    • weight: 0.44kg
    • availability: Available
  • Table of Contents

    Introduction
    1. Clifford algebras
    2. Fock representations
    3. Implementation and equivalence
    4. Spin groups
    Appendix
    Bibliography
    Index.

  • Authors

    Roger Plymen, University of Manchester

    Paul Robinson, University of Florida

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