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- catalog abstract "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.".
- catalog contributor b3286493.
- catalog created "c1991.".
- catalog date "1991".
- catalog date "c1991.".
- catalog dateCopyrighted "c1991.".
- catalog description "Includes bibliographical references (p. [130]-131) and index.".
- catalog description "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.".
- catalog extent "131 p. ;".
- catalog hasFormat "Bose algebras.".
- catalog identifier "3540540415".
- catalog isFormatOf "Bose algebras.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1472.".
- catalog isPartOf "Lecture notes in mathematics ; 1472".
- catalog issued "1991".
- catalog issued "c1991.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer-Verlag,".
- catalog relation "Bose algebras.".
- catalog subject "Bose algebras.".
- catalog subject "Global analysis (Mathematics).".
- catalog subject "Hilbert space.".
- catalog subject "Mathematical physics.".
- catalog subject "Mathematics.".
- catalog subject "Operator theory.".
- catalog subject "QA3 .L28 no. 1472 QC20.7.B58".
- catalog subject "Quantum field theory Mathematical models.".
- catalog subject "Representations of groups.".
- catalog title "Bose algebras : the complex and real wave representations / Torben T. Nielsen.".
- catalog type "text".