Download E-books Bose Algebras: The Complex and Real Wave Representations (Lecture Notes in Mathematics) PDF

By Torben T. Nielsen

The math of Bose-Fock areas is outfitted at the concept of a commutative algebra and this algebraic constitution makes the idea attractive either to mathematicians without history in physics and to theorectical and mathematical physicists who will immediately realize that the frequent set-up doesn't vague the direct relevance to theoretical physics. the well known complicated and genuine wave representations seem right here as ordinary results of the elemental mathematical constitution - a mathematician accustomed to type idea will regard those representations as functors. Operators generated by way of creations and annihilations in a given Bose algebra are proven to offer upward thrust to a brand new Bose algebra of operators yielding the Weyl calculus of pseudo-differential operators. The ebook could be helpful to mathematicians attracted to research in infinitely many dimensions or within the arithmetic of quantum fields and to theoretical physicists who can cash in on using an efficient and rigrous Bose formalism.

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