Quantized partial differential equations - Prastaro, Agostino (World Scientific, 2004)
Includes bibliographical references (p. 461-471) and index
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