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    Quantized Partial Differential Equations by A. Prastarto


    Quantized Partial Differential Equations by A. Prastarto

    Quantized Partial Differential Equations by A. Prastarto
    World Scientific Pub Co Inc | June 2004 | English | ISBN: 9812387641 | 193 pages | PDF | 26 MB

    This book presents, for the first time, a systematic formulation of the geometric theory of noncommutative PDEs which is suitable enough to be used for a mathematical description of quantum dynamics and quantum field theory. A geometric theory of supersymmetric quantum PDEs is also considered, in order to describe quantum supergravity. Covariant and canonical quantizations of (super) PDEs are shown to be founded on the geometric theory of PDEs and to produce quantum (super) PDEs by means of functors from the category of commutative (super) PDEs to the category of quantum (super) PDEs.


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Ordinary Differential Equations Basics and Beyond
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