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Quantized partial differential equations /

This book presents, for the first time, a systematic formulation ofthe geometric theory of noncommutative PDE's which is suitable enoughto be used for a mathematical description of quantum dynamics andquantum field theory. A geometric theory of supersymmetric quantumPDE's is also considere...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Prastaro, Agostino
Formato: Electrónico eBook
Idioma:Inglés
Publicado: River Edge, NJ : World Scientific, ©2004.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a Quantized partial differential equations /  |c A Prástaro. 
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520 |a This book presents, for the first time, a systematic formulation ofthe geometric theory of noncommutative PDE's which is suitable enoughto be used for a mathematical description of quantum dynamics andquantum field theory. A geometric theory of supersymmetric quantumPDE's is also considered, in order to describe quantumsupergravity. Covariant and canonical quantizations of (super) PDE'sare shown to be founded on the geometric theory of PDE's and toproduce quantum (super) PDE's by means of functors from the categoryof commutative (super) PDE's to the category of quantum (super)PDE's. Global pro. 
505 0 |a Quantized PDE's I: Noncommutative manifolds -- Quantized PDE's II: Noncommutative PDE's -- Quantized PDE's III: Quantizations of commutative PDE's -- Addendum I: Bordism groups and the (NS)-problem -- Addendum I: Bordism groups and variational PDE's. 
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650 6 |a Théorie quantique des champs. 
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650 7 |a Quantum field theory  |2 fast 
650 7 |a Quantum groups  |2 fast 
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