Article about symmetries (math problems)

[Caloric]

Hi all.

When I was reading a paper (http://physics.brown.edu/physics/undergradpages/theses/SeniorThesis_tlevine1.pdf) I have had a problem. I don’t understand some equations, namely I don’t understand 2.22 and 2.36. I confused by derivative $\left(\frac{\partial t’}{\partial t}\right)^{\frac{1}{2}}$ in the last (2.36) equation.
It’s clear for me, that it is mathematical trick, but I don’t know it. I would be happy if you could give me an explanation or a link for some literature.


Thanks.

 

[mfb]

I think you have to use the given potential and its scaling.

$q \to \sqrt{\lambda} q$ is equivalent to a scaling of V by 1/λ, and this corresponds to a scaling of $t \to \lambda t$.
+- some exponents

 

[Caloric]

thank you, i get it