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|a Prastaro, Agostino.
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|a Quantized partial differential equations /
|c A Prástaro.
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|a River Edge, NJ :
|b World Scientific,
|c ©2004.
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|a 1 online resource (xiii, 485 pages)
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|a Includes bibliographical references (pages 461-471) and index.
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|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.
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|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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|a Quantum groups.
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|a Quantum field theory.
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|a Groupes quantiques.
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|a Théorie quantique des champs.
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|x Physics
|x Mathematical & Computational.
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|a Quantum field theory
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|a Quantum groups
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|i Print version:
|a Prastaro, Agostino.
|t Quantized partial differential equations.
|d River Edge, NJ : World Scientific, ©2004
|w (DLC) 55964727
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