Lecture Notes in Mathematics

Bose Algebras: The Complex and Real Wave Representations

Authors: Nielsen, Torben T.

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About this book

The mathematics of Bose-Fock spaces is built on the notion of a commutative algebra and this algebraic structure makes the theory appealing both to mathematicians with no background in physics and to theorectical and mathematical physicists who will at once recognize that the familiar set-up does not obscure the direct relevance to theoretical physics. The well-known complex and real wave representations appear here as natural consequences of the basic mathematical structure - a mathematician familiar with category theory will regard these representations as functors. Operators generated by creations and annihilations in a given Bose algebra are shown to give rise to a new Bose algebra of operators yielding the Weyl calculus of pseudo-differential operators. The book will be useful to mathematicians interested in analysis in infinitely many dimensions or in the mathematics of quantum fields and to theoretical physicists who can profit from the use of an effective and rigrous Bose formalism.

Table of contents (10 chapters)

Table of contents (10 chapters)

Buy this book

eBook n/a
  • ISBN 978-3-540-47367-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
Softcover n/a
  • ISBN 978-3-540-54041-0
  • Free shipping for individuals worldwide
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Bibliographic Information

Bibliographic Information
Book Title
Bose Algebras: The Complex and Real Wave Representations
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1472
Copyright
1991
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-47367-1
DOI
10.1007/BFb0098303
Softcover ISBN
978-3-540-54041-0
Series ISSN
0075-8434
Edition Number
1
Number of Pages
VI, 138
Topics