Lagrangian dynamics توانیک ِ لاگرانژی tavânik-e lâgrânži
*Fr.: dynamique lagrangienne*
A reformulation of → *Newtonian mechanics*
in which dynamical properties of the system are described in terms of
generalized variables.
In this approach the → *generalized coordinates*
and → *generalized velocities*
are treated as independent variables. Indeed applying Newton's laws to complicated
problems can become a difficult task, especially if a description of
the motion is needed for systems that either move in a complicated manner, or other
coordinates than → *Cartesian coordinates*
are used, or even for systems that involve several objects. Lagrangian dynamics
encompasses Newton dynamics, and moreover leads to the concept of the
→ *Hamiltonian* of the system
and a process by means of which it can be calculated.
The Hamiltonian is a cornerstone in the field of
→ *quantum mechanics*. → *Lagrangian*; → *dynamics*. |