- #1
1v1Dota2RightMeow
- 76
- 7
Homework Statement
I don't see how the author normalizes ##u(r)=Asin(kr)##. From Griffiths, Introduction to Quantum Mechanics, 2nd edition, page 141-142:
http://imgur.com/a/bo8v6
Homework Equations
##\int_0^{\infty} \int_0^{\pi} \int_0^{2\pi}|A|^2 \sin^2(\frac{n\pi r}{a})r^2 \sin \theta drd\theta d\phi=1##
The Attempt at a Solution
My integral was
##\int_0^{\infty} \int_0^{\pi} \int_0^{2\pi}|A|^2 \sin^2(\frac{n\pi r}{a})r^2 \sin \theta drd\theta d\phi=1##
Mathematica simplifies the integral (without the ##A## for simplicity) to
##=\int_0^{\infty}4\pi r^2 \sin^2(\frac{n\pi r}{a})dr##
but it stops there. I don't think this integral converges. Did I make a mistake somewhere?