Poisson brackets for covariant field theory are defined in such a way as to demonstrate the close connection and ready transition between the classical brackets and the corresponding commutators of quantum theory. The approach of Good is followed in general; but the questions of tensor algebra are handled differently, requiring the introduction of a family of space-like surfaces and their normals. As an illustration, the free Klein-Gordon and Dirac fields are worked out.
Articles you may be interested inFunctional derivatives of meta-generalized gradient approximation (meta-GGA) type exchange-correlation density functionals
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.