Normalization of wave functions (hydrogen)

[GreenLRan]

Homework Statement

Show that the (1,0,0) and (2,0,0) wave functions listed in table 7.1 are properly normalized.

http://www.geocities.com/greenlran/phtable712.jpg

Homework Equations

psi.n.l.ml.(r,theta,phi)=R.n.l.(r)THETA.l.ml.(theta)PHI.ml.(phi)

The Attempt at a Solution

To normalize a wave function you square the function and integrate it, then multiply the original function by 1 over the sqrt of the integral to make it equal 1 correct? How do i checked to see if these are normalized?

 

[cristo]

If a wavefunction is normalised, what can you say about integral of the square of the norm of the wavefunction?

 

[GreenLRan]

would it be the original wave function? or just 1? I am not exactly sure how to integrate this either...

 

[cristo]

It would be equal to one, since the integral over the whole space of the square of the norm of the wavefunction is equal to the probability of finding the particle in that space. Since we want it to be normalised, this means that this probability is equal to one.