9783319654263 - quantization, geometry and noncommutative structures in mathematics and physics (mathematical physics studies) (11 resultados)
Idioma: Inglés
Editorial: Springer International Publishing AG, Cham 2017
Serie: Mathematical Physics Studies, Libro 18 de 24. Libro 18 de 24 - Mathematical Physics Studies
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Hardcover. Condición: new. Hardcover. This monograph presents various ongoing approaches to the vast topic of quantization, which is the process of forming a quantum mechanical system starting from a classical one, and discusses their numerous fruitful interactions with mathematics.The opening chapter introduces the various form…s of quantization and their interactions with each other and with mathematics.A first approach to quantization, called deformation quantization, consists of viewing the Planck constant as a small parameter. This approach provides a deformation of the structure of the algebra of classical observables rather than a radical change in the nature of the observables. When symmetries come into play, deformation quantization needs to be merged with group actions, which is presented in chapter 2, by Simone Gutt.The noncommutativity arising from quantization is the main concern of noncommutative geometry. Allowing for the presence of symmetries requires working with principal fiber bundles in a non-commutative setup, where Hopf algebras appear naturally. This is the topic of chapter 3, by Christian Kassel. Nichols algebras, a special type of Hopf algebras, are the subject of chapter 4, by Nicolas Andruskiewitsch. The purely algebraic approaches given in the previous chapters do not take the geometry of space-time into account. For this purpose a special treatment using a more geometric point of view is required. An approach to field quantization on curved space-time, with applications to cosmology, is presented in chapter 5 in an account of the lectures of Abhay Ashtekar that brings a complementary point of view to non-commutativity.An alternative quantization procedure is known under the name of string theory. In chapter 6 its supersymmetric version is presented. Superstrings have drawn the attention of many mathematicians, due to its various fruitful interactions with algebraic geometry, some of which are described here. The remaining chapters discuss further topics, as the Batalin-Vilkovisky formalism and direct products of spectral triples.This volume addresses both physicists and mathematicians and serves as an introduction to ongoing research in very active areas of mathematics and physics at the border line between geometry, topology, algebra and quantum field theory. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
Idioma: Inglés
Editorial: Springer 2017
Serie: Mathematical Physics Studies, Libro 18 de 24. Libro 18 de 24 - Mathematical Physics Studies
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Condición: New. 1st ed. 2017 edition NO-PA16APR2015-KAP.
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Editorial: Springer 2017
Serie: Mathematical Physics Studies, Libro 18 de 24. Libro 18 de 24 - Mathematical Physics Studies
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Hardcover. Condición: Brand New. 341 pages. 9.25x6.25x1.00 inches. In Stock.
Idioma: Inglés
Editorial: Springer 2017
Serie: Mathematical Physics Studies, Libro 18 de 24. Libro 18 de 24 - Mathematical Physics Studies
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Hardcover. Condición: New. New. book.
Idioma: Inglés
Editorial: Springer 2017
Serie: Mathematical Physics Studies, Libro 18 de 24. Libro 18 de 24 - Mathematical Physics Studies
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Condición: new. Questo è un articolo print on demand.
Idioma: Inglés
Editorial: Springer International Publishing Nov 2017 2017
Serie: Mathematical Physics Studies, Libro 18 de 24. Libro 18 de 24 - Mathematical Physics Studies
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Buch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This monograph presents various ongoing approaches to the vast topic of quantization, which is the process of forming a quantum mechanical system starting from a classical one, and discusses their numerous fruitful interactions with mathem…atics.The opening chapter introduces the various forms of quantization and their interactions with each other and with mathematics.A first approach to quantization, called deformation quantization, consists of viewing the Planck constant as a small parameter. This approach provides a deformation of the structure of the algebra of classical observables rather than a radical change in the nature of the observables. When symmetries come into play, deformation quantization needs to be merged with group actions, which is presented in chapter 2, by Simone Gutt.The noncommutativity arising from quantization is the main concern of noncommutative geometry. Allowing for the presence of symmetries requires working with principal fiber bundles in a non-commutative setup, where Hopf algebras appear naturally. This is the topic of chapter 3, by Christian Kassel. Nichols algebras, a special type of Hopf algebras, are the subject of chapter 4, by Nicolás Andruskiewitsch. The purely algebraic approaches given in the previous chapters do not take the geometry of space-time into account. For this purpose a special treatment using a more geometric point of view is required. An approach to field quantization on curved space-time, with applications to cosmology, is presented in chapter 5 in an account of the lectures of Abhay Ashtekar that brings a complementary point of view to non-commutativity.An alternative quantization procedure is known under the name of string theory. In chapter 6 its supersymmetric version is presented. Superstrings have drawn the attention of many mathematicians, due to its various fruitful interactions with algebraic geometry, some of which are described here. The remaining chapters discuss further topics, as the Batalin-Vilkovisky formalism and direct products of spectral triples.This volume addresses both physicists and mathematicians and serves as an introduction to ongoing research in very active areas of mathematics and physics at the border line between geometry, topology, algebra and quantum field theory. 352 pp. Englisch.
Quantization, Geometry and Noncommutative Structures in Mathematics and Physics
Cardona, Alexander|Morales, Pedro|Ocampo, Hernán|Paycha, Sylvie|Reyes Lega, Andrés F.
Idioma: Inglés
Editorial: Springer International Publishing 2017
Serie: Mathematical Physics Studies, Libro 18 de 24. Libro 18 de 24 - Mathematical Physics Studies
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Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Inspires especially young researchers who will get a global picture and technical tools at the same timeBridges different active areas of research in mathematics and physicsWritten with a notable pedagogical effortTh.
Idioma: Inglés
Editorial: Springer, Palgrave Macmillan Nov 2017 2017
Serie: Mathematical Physics Studies, Libro 18 de 24. Libro 18 de 24 - Mathematical Physics Studies
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Librería: buchversandmimpf2000, Emtmannsberg, BAYE, Alemaniabuchversandmimpf2000
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Buch. Condición: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This monograph presents various ongoing approaches to the vast topic of quantization, which is the process of forming a quantum mechanical system starting from a classical one, and discusses their numerous fruitful interactions with mathematic…s.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 352 pp. Englisch.
Idioma: Inglés
Editorial: Springer 2017
Serie: Mathematical Physics Studies, Libro 18 de 24. Libro 18 de 24 - Mathematical Physics Studies
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Librería: Majestic Books, Hounslow, Reino UnidoMajestic Books
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Idioma: Inglés
Editorial: Springer 2017
Serie: Mathematical Physics Studies, Libro 18 de 24. Libro 18 de 24 - Mathematical Physics Studies
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Librería: Biblios, frankfurt am main, HESSE, AlemaniaBiblios
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Idioma: Inglés
Editorial: Palgrave Macmillan 2017
Serie: Mathematical Physics Studies, Libro 18 de 24. Libro 18 de 24 - Mathematical Physics Studies
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Librería: AHA-BUCH GmbH, Einbeck, AlemaniaAHA-BUCH GmbH
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Buch. Condición: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - This monograph presents various ongoing approaches to the vast topic of quantization, which is the process of forming a quantum mechanical system starting from a classical one, and discusses their numerous fruitful interactions with mathematics….The opening chapter introduces the various forms of quantization and their interactions with each other and with mathematics.A first approach to quantization, called deformation quantization, consists of viewing the Planck constant as a small parameter. This approach provides a deformation of the structure of the algebra of classical observables rather than a radical change in the nature of the observables. When symmetries come into play, deformation quantization needs to be merged with group actions, which is presented in chapter 2, by Simone Gutt.The noncommutativity arising from quantization is the main concern of noncommutative geometry. Allowing for the presence of symmetries requires working with principal fiber bundles in a non-commutative setup, where Hopf algebras appear naturally. This is the topic of chapter 3, by Christian Kassel. Nichols algebras, a special type of Hopf algebras, are the subject of chapter 4, by Nicolás Andruskiewitsch. The purely algebraic approaches given in the previous chapters do not take the geometry of space-time into account. For this purpose a special treatment using a more geometric point of view is required. An approach to field quantization on curved space-time, with applications to cosmology, is presented in chapter 5 in an account of the lectures of Abhay Ashtekar that brings a complementary point of view to non-commutativity.An alternative quantization procedure is known under the name of string theory. In chapter 6 its supersymmetric version is presented. Superstrings have drawn the attention of many mathematicians, due to its various fruitful interactions with algebraic geometry, some of which are described here. The remaining chapters discuss further topics, as the Batalin-Vilkovisky formalism and direct products of spectral triples.This volume addresses both physicists and mathematicians and serves as an introduction to ongoing research in very active areas of mathematics and physics at the border line between geometry, topology, algebra and quantum field theory.
