Infinite Dimensional Groups and Algebras in Quantum Physics [electronic resource] /
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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Format: | Texto biblioteca |
Language: | eng |
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Berlin, Heidelberg : Springer Berlin Heidelberg,
1995
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Subjects: | Physics., Quantum physics., Quantum computers., Spintronics., Quantum Physics., Quantum Information Technology, Spintronics., |
Online Access: | http://dx.doi.org/10.1007/978-3-540-49141-5 |
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KOHA-OAI-TEST:2095732018-07-30T23:41:07ZInfinite Dimensional Groups and Algebras in Quantum Physics [electronic resource] / Ottesen, Johnny T. author. SpringerLink (Online service) textBerlin, Heidelberg : Springer Berlin Heidelberg,1995.engThe 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.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.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.Physics.Quantum physics.Quantum computers.Spintronics.Physics.Quantum Physics.Quantum Information Technology, Spintronics.Springer eBookshttp://dx.doi.org/10.1007/978-3-540-49141-5URN:ISBN:9783540491415 |
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Physics. Quantum physics. Quantum computers. Spintronics. Physics. Quantum Physics. Quantum Information Technology, Spintronics. Physics. Quantum physics. Quantum computers. Spintronics. Physics. Quantum Physics. Quantum Information Technology, Spintronics. |
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Physics. Quantum physics. Quantum computers. Spintronics. Physics. Quantum Physics. Quantum Information Technology, Spintronics. Physics. Quantum physics. Quantum computers. Spintronics. Physics. Quantum Physics. Quantum Information Technology, Spintronics. Ottesen, Johnny T. author. SpringerLink (Online service) Infinite Dimensional Groups and Algebras in Quantum Physics [electronic resource] / |
description |
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. |
format |
Texto |
topic_facet |
Physics. Quantum physics. Quantum computers. Spintronics. Physics. Quantum Physics. Quantum Information Technology, Spintronics. |
author |
Ottesen, Johnny T. author. SpringerLink (Online service) |
author_facet |
Ottesen, Johnny T. author. SpringerLink (Online service) |
author_sort |
Ottesen, Johnny T. author. |
title |
Infinite Dimensional Groups and Algebras in Quantum Physics [electronic resource] / |
title_short |
Infinite Dimensional Groups and Algebras in Quantum Physics [electronic resource] / |
title_full |
Infinite Dimensional Groups and Algebras in Quantum Physics [electronic resource] / |
title_fullStr |
Infinite Dimensional Groups and Algebras in Quantum Physics [electronic resource] / |
title_full_unstemmed |
Infinite Dimensional Groups and Algebras in Quantum Physics [electronic resource] / |
title_sort |
infinite dimensional groups and algebras in quantum physics [electronic resource] / |
publisher |
Berlin, Heidelberg : Springer Berlin Heidelberg, |
publishDate |
1995 |
url |
http://dx.doi.org/10.1007/978-3-540-49141-5 |
work_keys_str_mv |
AT ottesenjohnnytauthor infinitedimensionalgroupsandalgebrasinquantumphysicselectronicresource AT springerlinkonlineservice infinitedimensionalgroupsandalgebrasinquantumphysicselectronicresource |
_version_ |
1756268677596971008 |