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Spinors in Hilbert Space

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Spinors in Hilbert Space Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

The concept of spinors originated in the quantum mechanical study of electrons. The authors give a definitive self-contained account of the subject, with complete proofs, many of which offer a fresh perspective. It will appeal to a wide audience in mathematics and mathematical physics.

Synopsis:

A definitive self-contained account of the subject. Of appeal to a wide audience in mathematics and physics.

Description:

Includes bibliographical references (p. [160]-163) and index.

Table of Contents

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

Product Details

ISBN:
9780521450225
Author:
Plymen, Roger
Publisher:
Cambridge University Press
Editor:
Robinson, Paul
Editor:
Bollobas, Bela
Author:
Sarnak, P.
Author:
Kirwan, F.
Author:
Katok, A.
Author:
Robinson, Paul
Author:
Bollobas, B.
Author:
Fulton, W.
Location:
Cambridge England ;
Subject:
Differential Equations
Subject:
Probability
Subject:
Hilbert space
Subject:
Spinor analysis
Subject:
Algebra - Linear
Subject:
Probability & Statistics - General
Subject:
Mathematics-Linear Algebra
Edition Description:
Hardcover
Series:
Cambridge tracts in mathematics ;
Series Volume:
91-19114
Publication Date:
20100731
Binding:
Hardcover
Grade Level:
Professional and scholarly
Language:
English
Illustrations:
Yes
Pages:
180
Dimensions:
9.25x6.26x.64 in. .85 lbs.

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Spinors in Hilbert Space New Hardcover
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Product details 180 pages Cambridge University Press - English 9780521450225 Reviews:
"Synopsis" by , The concept of spinors originated in the quantum mechanical study of electrons. The authors give a definitive self-contained account of the subject, with complete proofs, many of which offer a fresh perspective. It will appeal to a wide audience in mathematics and mathematical physics.
"Synopsis" by , A definitive self-contained account of the subject. Of appeal to a wide audience in mathematics and physics.
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