Cover Image

Bose algebras : the complex and real wave representations /

Show other versions (1)

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 no...

Full description

Bibliographic Details
Main Author: Nielsen, Torben T.
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin ; New York : Springer-Verlag, [1991]
Series:Lecture notes in mathematics (Springer-Verlag) ; 1472.
Subjects:
Bose algebras.
Representations of groups.
Hilbert space.
Mathematical physics.
Équation d'onde.
Hilbert, Espaces de.
Bose-Algebra.
Erzeugungsoperator.
Vernichtungsoperator.
Fock-Raum.
Electronic books.
Online Access:Connect to the full text of this electronic book
Description
Summary: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.
Item Description:Electronic resource.
Physical Description:1 online resource (131 pages)
Format:Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Bibliography:Includes bibliographical references (pages [130]-131) and index.
ISBN:9783540473671 (electronic bk.)
354047367X (electronic bk.)
ISSN:0075-8434 ;