Quantized Partial Differential Equations

Released on by Agostino Prastaro
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  • Quantized Partial Differential Equations Book Detail

  • Author : Agostino Prastaro
  • Release Date : 2004
  • Publisher : World Scientific
  • Genre : Mathematics
  • Pages : 500
  • ISBN 13 : 9812387641
  • File Size : 50,50 MB
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Quantized Partial Differential Equations by Agostino Prastaro PDF Summary

Book Description: This book presents, for the first time, a systematic formulation of the geometric theory of noncommutative PDE's which is suitable enough to be used for a mathematical description of quantum dynamics and quantum field theory. A geometric theory of supersymmetric quantum PDE's is also considered, in order to describe quantum supergravity. Covariant and canonical quantizations of (super) PDE's are shown to be founded on the geometric theory of PDE's and to produce quantum (super) PDE's by means of functors from the category of commutative (super) PDE's to the category of quantum (super) PDE's. Global properties of solutions to (super) (commutative) PDE's are obtained by means of their integral bordism groups.

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Quantized Partial Differential Equations

Quantized Partial Differential Equations

File Size : 58,58 MB
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This book presents, for the first time, a systematic formulation of the geometric theory of noncommutative PDE's which is suitable enough to be used for a mathe

Quantization, PDEs, and Geometry

Quantization, PDEs, and Geometry

File Size : 23,23 MB
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This book presents four survey articles on different topics in mathematical analysis that are closely linked to concepts and applications in physics. Specifical