In classical mechanics we can describe the state of a system by specifying its Lagrangian as a function of the coordinates and their time rates of change.However, it is sometimes convenient to change ...In classical mechanics we can describe the state of a system by specifying its Lagrangian as a function of the coordinates and their time rates of change.However, it is sometimes convenient to change the basis of the description of the state of a system by defining a quantity called the hamiltonian H.