Recent content by dirtyaldante

Homework Statement Solve for n: 2n.Cos^2(n)=1000 The Attempt at a Solution So, I think there's a substitution involved here. I tried to rearrange cosine in terms of sine to make it into a quadratic but that didn't work. I've gone through all the table trig identities. I've had other...

Forgot to type the 4 and neglected the minus like I always do. Old habits die hard.

Yep, I'm an idiot. Messed up the integration. Pretty sure i got it right THIS time though... <V(r)>=e^2/(pi.epsilon0.a0)

Aha, you're right of course. I dropped the e^2 by mistake. That fixs the units.

Solutions for anybody who cares: <V(r)> = (1/8.pi.epsilon0) sqrt(a0) <r> = (3/2) a0 where a0 is the bohr radius = 5.29177×10^−11 If somebody wants to double check my solutions they are more than welcome to but I think we can agree they look pretty good. Thanks for the help guys!

That's exactly what I need! Matches one of the useful integrals supplied too. Awesomeness. Thanks!

Ok, I think I get what you're saying but I don't understand the reasoning behind your method or how it well help me determine the expectation value of V(r). Can you comment on the method I proposed and how it might relate to yours?

OK, I'm looking at this: http://en.wikipedia.org/wiki/Virial_theorem#Connection_with_the_potential_energy_between_particles and I am trying very hard to understand what you're saying but I'm just not getting it. How do you mean "average the potential operator"? I don't have one that I can see. I...

Update: I might have the answer to the second part. If the probabilty density is P(r) and P(r)=|R(n,l)|^2 times r^2 where: R(n,l)=Radial wavefunction defined by the laguerre polynomials r=radius Then the value of r for this state corresponding to the maximum chance of finding an...

Hi. I'm a 3rd year undergraduate studying Applied Physics and I'm having some trouble with a problem concerning the Hydrogen Atom. This is my first post so please forgive the sloppy equations. Not really used to writing this stuff out without an equation editor handy! Anyway, the...