Spinors in Hilbert Space

di Roger Plymen (Autore)

Paul Robinson (Autore)

Cambridge University Press, 1994

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.

• Autore: Roger Plymen, Paul Robinson
• Editore: Cambridge University Press
• Collana: Cambridge Tracts in Mathematics
• Anno: 1994
• Rilegatura: Hardback
• Pagine: 180 p.
• Dimensioni: 236 x 158 mm
• Peso: 394 gr.
• EAN: 9780521450225

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