Article about symmetries (math problems)

AI Thread Summary
The discussion centers on confusion regarding specific equations in a physics thesis, particularly equations 2.22 and 2.36. The user seeks clarification on the derivative notation in equation 2.36, recognizing it as a mathematical trick but lacking understanding. A response suggests that the confusion can be resolved by considering the scaling of the potential and its relationship to time. The scaling transformation involves adjusting the variable q and the potential V, which clarifies the mathematical context. Overall, the exchange highlights the importance of understanding scaling in physics equations.
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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 \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.
 
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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
 
thank you, i get it
 
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