Question

What is the physical significance of Lagrangian?

Answer 1

Lagrangian:

1. The Lagrangian function, also known as the Lagrangian quantity, characterizes the state of a physical system.
2. The Lagrangian function in mechanics is simply the kinetic energy, which is the energy of motion minus the potential energy or energy of position.
3. The mechanics are a reformulation of classical mechanics that was introduced in 1788 by the Italian-French mathematician and astronomer Joseph-Louis Lagrange.
4. Simply, if you know the Lagrangian for a classical system, you can predict how it will behave.