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Does the Lagrangian L in classical mechanics have any physical meaning?
In classical mechanics, the Lagrangian is defined as L=T-V, the difference between the kinetic and potential energy of the system. Does this quantity have any meaning apart from that it can be plugged into Euler-Lagrange's equations to find a stationary path?
Can we say anything about the difference in behavior for systems with high and low values of L, respectively?
In classical mechanics, the Lagrangian is defined as L=T-V, the difference between the kinetic and potential energy of the system. Does this quantity have any meaning apart from that it can be plugged into Euler-Lagrange's equations to find a stationary path?
Can we say anything about the difference in behavior for systems with high and low values of L, respectively?