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Add to basketPaperback. Condition: New. A presentation of outstanding achievements and ideas, of both eastern and western scientists, both mathematicians and physicists. Their presentations of recent work on quantum field theory, supergravity, M-theory, black holes and quantum gravity, together with research into noncommutative geometry, Hopf algebras, representation theory, categories and quantum groups, take the reader to the forefront of the latest developments. Other topics covered include supergravity and branes, supersymmetric quantum mechanics and superparticles, (super) black holes, superalgebra representations, and SUSY GUT phenomenology. Essential reading for workers in the modern methods of theoretical and mathematical physics. Softcover reprint of the original 1st ed. 2001.
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Published by Kluwer Academic Publishers, 2001
ISBN 10: 0792369998 ISBN 13: 9780792369998
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Condition: New. Proceedings of the NATO Advanced Research Workshop, Kiev, Ukraine, September 24-28, 2000 Editor(s): Duplij, Steven; Wess, Julius. Series: NATO Science Series II. Num Pages: 484 pages, biography. BIC Classification: PHQ. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 235 x 155 x 25. Weight in Grams: 689. . 2001. Softcover reprint of the original 1st ed. 2001. Paperback. . . . .
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Published by Kluwer Academic Publishers, 2001
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Condition: New. Proceedings of the NATO Advanced Research Workshop, Kiev, Ukraine, September 24-28, 2000 Editor(s): Duplij, Steven; Wess, Julius. Series: NATO Science Series II. Num Pages: 484 pages, biography. BIC Classification: PHQ. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 235 x 155 x 26. Weight in Grams: 873. . 2001. Hardback. . . . .
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Hardcover. Condition: 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 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 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.
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Published by Kluwer Academic Publishers, 2001
ISBN 10: 0792369998 ISBN 13: 9780792369998
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Condition: New. Proceedings of the NATO Advanced Research Workshop, Kiev, Ukraine, September 24-28, 2000 Editor(s): Duplij, Steven; Wess, Julius. Series: NATO Science Series II. Num Pages: 484 pages, biography. BIC Classification: PHQ. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 235 x 155 x 25. Weight in Grams: 689. . 2001. Softcover reprint of the original 1st ed. 2001. Paperback. . . . . Books ship from the US and Ireland.
Language: English
Published by Kluwer Academic Publishers, 2001
ISBN 10: 079236998X ISBN 13: 9780792369981
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Condition: New. Proceedings of the NATO Advanced Research Workshop, Kiev, Ukraine, September 24-28, 2000 Editor(s): Duplij, Steven; Wess, Julius. Series: NATO Science Series II. Num Pages: 484 pages, biography. BIC Classification: PHQ. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 235 x 155 x 26. Weight in Grams: 873. . 2001. Hardback. . . . . Books ship from the US and Ireland.
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Published by Springer Netherlands, Springer Netherlands, 2001
ISBN 10: 079236998X ISBN 13: 9780792369981
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - A presentation of outstanding achievements and ideas, of both eastern and western scientists, both mathematicians and physicists. Their presentations of recent work on quantum field theory, supergravity, M-theory, black holes and quantum gravity, together with research into noncommutative geometry, Hopf algebras, representation theory, categories and quantum groups, take the reader to the forefront of the latest developments. Other topics covered include supergravity and branes, supersymmetric quantum mechanics and superparticles, (super) black holes, superalgebra representations, and SUSY GUT phenomenology. Essential reading for workers in the modern methods of theoretical and mathematical physics.
Language: English
Published by Springer Netherlands, Springer Netherlands, 2001
ISBN 10: 0792369998 ISBN 13: 9780792369998
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - A presentation of outstanding achievements and ideas, of both eastern and western scientists, both mathematicians and physicists. Their presentations of recent work on quantum field theory, supergravity, M-theory, black holes and quantum gravity, together with research into noncommutative geometry, Hopf algebras, representation theory, categories and quantum groups, take the reader to the forefront of the latest developments. Other topics covered include supergravity and branes, supersymmetric quantum mechanics and superparticles, (super) black holes, superalgebra representations, and SUSY GUT phenomenology. Essential reading for workers in the modern methods of theoretical and mathematical physics.
Taschenbuch. Condition: Neu. Quantization, Geometry and Noncommutative Structures in Mathematics and Physics | Alexander Cardona (u. a.) | Taschenbuch | Mathematical Physics Studies | x | Englisch | 2018 | Springer | EAN 9783319880266 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.
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Hardcover. Condition: Brand New. 341 pages. 9.25x6.25x1.00 inches. In Stock.
Taschenbuch. Condition: Neu. Druck auf Anfrage 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.
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