How Do You Differentiate V(αr) = α^n V(r) with Respect to α?

[abeedo]

Hello every body,

can you help me in solving these quantum mechanics problems?

http://www.itap.physik.uni-stuttgart.de/lehre/vorlesungen/advqm2008/assign09.pdf"



Thanks,

 

[tiny-tim]

Hi abeedo!

Show us what you've tried, and where you're stuck, and then we'll know how to help.

Start with Problem 1(a) and (b).

 

[abeedo]

Hello Tiny-tim:)


Actually, my pen has been frozen when it met the paper:)

I have searched through 6 books in quantum mechanics , and nothing helps except (c) from problem 1...

 

[dextercioby]

Let's start with 1a. Has nothing to do with physics.

Differentiate $$V\left(\alpha \vec{r}\right) = \alpha^n V\left(\vec{r}\right)$$ wrt 'alpha'.