Article about symmetries (math problems)

  • Thread starter Caloric
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  • #1
Caloric
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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 [itex] \left(\frac{\partial t’}{\partial t}\right)^{\frac{1}{2}}[/itex] 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.
 

Answers and Replies

  • #2
36,173
13,162
I think you have to use the given potential and its scaling.

[itex]q \to \sqrt{\lambda} q[/itex] is equivalent to a scaling of V by 1/λ, and this corresponds to a scaling of [itex]t \to \lambda t[/itex].
+- some exponents
 
  • #3
Caloric
3
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thank you, i get it
 

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