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Spinors in Hilbert Space

Spinors in Hilbert Space

by Paul Robinson and Roger Plymen
Hardback
Publication Date: 01/12/1994
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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.
ISBN:
9780521450225
9780521450225
Category:
Functional analysis & transforms
Format:
Hardback
Publication Date:
01-12-1994
Language:
English
Publisher:
Cambridge University Press
Country of origin:
United Kingdom
Pages:
180
Dimensions (mm):
229x152x14mm
Weight:
0.44kg
Paul Robinson

Paul Robinson is an experienced soccer coach with FA level 3 (UEFA B) and FA Youth Award qualifications. He has previously coached players ages 7 through 21 from foundational to professional development phase. He has also coached in different environments, including a diverse socio-economic American Summer Camp, grassroots teams, and at Regional Talent Clubs.

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You can find this item in:

Calculus & mathematical analysis Functional analysis & transforms Algebra Probability & statistics
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