TY  - BOOK
AU  - Nielsen,Torben T.
ED  - SpringerLink (Online service)
TI  - Bose Algebras: The Complex and Real Wave Representations
T2  - Lecture Notes in Mathematics,
SN  - 9783540473671
AV  - QA299.6-433 
U1  - 515 23
PY  - 1991///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Global analysis (Mathematics)
KW  - Mathematical physics
KW  - Analysis
KW  - Mathematical and Computational Physics
N1  - 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 ?(?+?*)
N2  - 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
UR  - http://dx.doi.org/10.1007/BFb0098303
ER  -