- #1

kakarukeys

- 190

- 0

I could not verify the 3rd one. Why is it possible to change the time scale by a constant factor?

For example:

[tex]L = \frac{1}{2}m\dot{q}^2 - kqt[/tex]

The E-L equation is

[tex]m\ddot{q} + kt = 0[/tex]

If we modify the Lagrangian, multiplying all time by constant c

[tex]L = \frac{1}{2c^2}m\dot{q}^2 - ckqt[/tex]

The E-L equation is

[tex]m\ddot{q} + c^3kt = 0[/tex]