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Bose Algebras : The Complex and Real Wave Representations - Torben T. Nielsen

Bose Algebras

The Complex and Real Wave Representations

Paperback Published: 19th June 1991
ISBN: 9783540540410
Number Of Pages: 138

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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.

The Bose algebra ?0?,?,?.- Lifting operators to ??.- The coherent vectors in ??.- The Wick ordering and the Weyl relations.- Some special operators.- The complex wave representation.- The real wave representation.- Bose algebras of operators.- Wave representations of ?(?+?*).

ISBN: 9783540540410
ISBN-10: 3540540415
Series: Lecture Notes in Mathematics
Audience: General
Format: Paperback
Language: English
Number Of Pages: 138
Published: 19th June 1991
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.39 x 15.6  x 0.79
Weight (kg): 0.21