Phase Space Formulation

Phase space formulation in Hamiltonian mechanics is a mathematical framework that represents a physical system by considering all possible states it can occupy. Each state is described by two sets of variables: position and momentum. In this representation, the entire state of a system is plotted in a multi-dimensional space called phase space. Each point in this space corresponds to a unique state of the system. The dynamics of the system are then analyzed through the movement of these points over time, allowing for a more comprehensive understanding of its behavior compared to just using position or momentum alone.