What is a Lagrangian in physics?
Answers
Answer:
definition:
The Lagrangian is a scalar representation of a physical system's position in phase space . Lagrangian function, also called Lagrangian, quantity that characterizes the state of a physical system. In mechanics, the Lagrangian function is just the kinetic energy (energy of motion) minus the potential energy (energy of position).
Its use and the reasons :
Lagrangian mechanics can be applied to geometrical optics, by applying variational principles to rays of light in a medium, and solving the EL equations gives the equations of the paths the light rays follow.
In classical mechanics, T-V does this nicely, and because it's a single number, this makes the equations far more easy to solve in simpler way.
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