Lecture 6 YouTube

Figure 6.3 - Phase space velocity

Figure 6.3 - Phase space velocity

We review our discussion of discrete phase spaces, and in particular, the imcompressibility of phase spaces.

We then introduce Hamilton's form of the equations of motion, via a mathematical process call Legendre transformations.

We also briefly introduce yet another formulation, called Poissson brackets, to describe motion, which can generate conerved quantites without knowledge of ymmetries in a system.