Poisson bracket

A Poisson bracket is a mathematical tool used in classical physics to describe how two quantities, like position and momentum, change over time within a system. It measures the relationship between these quantities and helps determine how they influence each other dynamically. Essentially, it provides a structured way to understand the evolution and interdependence of physical variables in systems governed by classical mechanics, particularly in Hamiltonian mechanics. The Poisson bracket encodes the underlying geometry of a system's phase space, serving as a foundation for analyzing the behavior of complex physical systems.