- #1
Andrea Vironda
- 69
- 3
Hi,
i know that The homogeneity of space and time implies that the Lagrangian cannot contain
explicitly either the radius vector r of the particle or the time t, i.e. L must be a function of v only
but the lagrangian definition is ##L=\int L(\dot q,q,t)##, so velocity appears in the definition and it's in contrast with ##L=L(v^2)##
why?
i know that The homogeneity of space and time implies that the Lagrangian cannot contain
explicitly either the radius vector r of the particle or the time t, i.e. L must be a function of v only
but the lagrangian definition is ##L=\int L(\dot q,q,t)##, so velocity appears in the definition and it's in contrast with ##L=L(v^2)##
why?