Quantized Partial Differential Equations

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 ar...