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.