The Hamiltonian formulation of classical mechanics. The Lagrangian formulation of mechanics will be useful later when we study the Feynman path integral. The Hamiltonian of a system is defined to be the sum of the kinetic and potential energies expressed as a function of positions and their conjugate momenta.
In respect to this, what is a Hamiltonian function?
Hamiltonian function. physics. Alternative Title: Hamiltonian. Hamiltonian function, also called Hamiltonian, mathematical definition introduced in 1835 by Sir William Rowan Hamilton to express the rate of change in time of the condition of a dynamic physical system—one regarded as a set of moving particles.
What is meant by Hamiltonian of the system?
In physics, this dynamical system describes the evolution of a physical system such as a planetary system or an electron in an electromagnetic field. These systems can be studied in both Hamiltonian mechanics and dynamical systems theory.