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Quantized Partial Differential Equations

by Agostino Prastaro
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₹19,404.00
Original price ₹19,404.00
Original price ₹19,404.00
₹19,404.00
Current price ₹19,404.00

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Book cover type: Hardcover
  • ISBN13: 9789812387646
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: World Scientific Publishing Company
  • Publisher Imprint: World Scientific Publishing Company
  • Publication Date:
  • Pages: 500
  • Original Price: USD 180.0
  • Language: English
  • Edition: N/A
  • Item Weight: 817 grams
  • BISAC Subject(s): Differential Equations / General

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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