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|a 9783540491415
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|a 10.1007/978-3-540-49141-5
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|a Ottesen, Johnny T.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a Infinite Dimensional Groups and Algebras in Quantum Physics
|h [electronic resource] /
|c by Johnny T. Ottesen.
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|a 1st ed. 1995.
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|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg :
|b Imprint: Springer,
|c 1995.
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|a IX, 218 p.
|b online resource.
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|a text
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|a Lecture Notes in Physics Monographs,
|x 0940-7677 ;
|v 27
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|a Springer eBook Collection
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|a The Spin Representation of the Infinite—Dimensional Orthogonal Group -- The Metaplectic Representation of the Infinite-Dimensional Symplectic Group -- Loop Algebras and the Virasoro Algebra -- Applications.
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|a The representation theory of infinite-dimensional groups is an important tool for studying conformal field theory, problems in statistical mechanics, and string theory. Using the ideas of classical representation theory and basic facts of functional analysis, the author constructs the spin representations of the infinitesimal orthogonal group and the metaplectic representation of an infinite-dimensional symplectic group. A constructive approach is chosen. The author discusses loop algebras and the Virasoro algebra and gives applications in the last chapter. The text addresses graduate students and is of considerable interest to researchers due to a novel approach closer to the traditional line of reasoning in quantum physics.
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|a Loaded electronically.
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|a Electronic access restricted to members of the Holy Cross Community.
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|a Quantum physics.
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|a Quantum computers.
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|a Spintronics.
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|a Electronic resources (E-books)
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|a Lecture Notes in Physics Monographs,
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|a Springer eBook Collection.
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