Spinors in Hilbert space
by Roger J. Plymen and P. L. Robinson
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Infinite-dimensional Clifford algebras and their Fock representations originated in the quantum physics of the free fermion field. This Tract begins with a definitive account of various Clifford algebras over a real Hilbert space. Chapter 2 contains a detailed account of creators, annihilators, Fock representations and parity. Transformation properties of Fock representation under Bogoliubov automorphisms are discussed in chapter 3: this leads to the restricted orthogonal group.
In the final chapter the authors discuss inner Bogoliubov automorphisms and 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.
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Hilbert space, Spinor analysisShowing 1 featured edition. View all 1 editions?
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Includes bibliographical references (p. [160]-163) and index.
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| July 15, 2024 | Edited by MARC Bot | import existing book |
| January 9, 2024 | Edited by Tom Morris | Add co-author from MARC |
| April 28, 2010 | Edited by Open Library Bot | Linked existing covers to the work. |
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