What is the difference between Lagrangian and Hamiltonian formalism?
1)In Lagrangian formalism, Lagrange 's equation of motion describes the motion of a particle in terms of a single second-order differential equation.
In Hamiltonian formalism Hamilton's equations describe the motion of a particle in terms of a coupled system of two first-order differential equations.What is the concept of Lagrangian and Hamiltonian?
Lagrangian exists as the difference between kinetic and potential energy.
Lagrangian is found by the Italian mathematician in the year 1788.
Lagrangian represented by cartesian coordinates.
Hamiltonian is the mathematically sophisticated formulation of classical mechanics.What is the Lagrangian of Hamilton's principle?
It states that the dynamics of a physical system are determined by a variational problem for a functional based on a single function, the Lagrangian, which may contain all physical information concerning the system and the forces acting on it.
- One motivation for the development of the Lagrangian formalism on fields, and more generally, for classical field theory, is to provide a clean mathematical foundation for quantum field theory, which is infamously beset by formal difficulties that make it unacceptable as a mathematical theory.
