Bose Algebras: The Complex and Real Wave Representations
The mathematics of BoseFock 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 setup does no...
Main Author:  

Corporate Author:  
Format:  eBook 
Language:  English 
Published: 
Berlin, Heidelberg
Springer Berlin Heidelberg
1991, 1991

Edition:  1st ed. 1991 
Series:  Lecture Notes in Mathematics

Subjects:  
Online Access:  
Collection:  Springer Book Archives 2004  Collection details see MPG.ReNa 
Summary:  The mathematics of BoseFock 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 setup does not obscure the direct relevance to theoretical physics. The wellknown 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 pseudodifferential 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 

Physical Description:  VI, 138 p online resource 
ISBN:  9783540473671 