Hamiltonian Mechanics

Abstract

A parallel development in analytical mechanics was proposed by Hamilton. The importance of the Hamiltonian approach does not lie in any special advantage while solving dynamical problems. But the Hamiltonian approach provides a new way of looking at dynamics problems. Thus, although the Hamiltonian formulation is not superior to Lagrangian technique for direct solution of dynamical problems in engineering, it forms the basis for further developments in classical mechanics like Hamilton-Jacobi theory, perturbation techniques and chaos. But more importantly the Hamiltonian formulation paves the way for develo** the language used in statistical mechanics, quantum mechanics and some other fields of theoretical physics.