The Moyal bracket is a mathematical construct used in the framework of quantum mechanics, particularly in the study of phase space formulations of quantum theory. It is an essential tool in the field of deformation quantization and provides a way to define non-commutative observables. The Moyal bracket is analogous to the Poisson bracket in classical mechanics but is formulated in the context of functions on phase space that are treated as quantum operators.
New to topics? Read the docs here!