# Search results

1. ### Why 1/(r^3) exp. value for H-atom diverges for 1s state? please respond before Jan 6

I figured even integration by parts wasn't necessary, only a change of variable. I passed the exam and the professor did not find any mistakes in my integrals. There is a chance that at least r^(-2) expectation value formula with quantum numbers may be slightly faulty. I did not have time...
2. ### Why 1/(r^3) exp. value for H-atom diverges for 1s state? please respond before Jan 6

I think understand the divergence problem, quite simple actually. Integrating by parts gives Gamma(0), because one can show, that u*v limits to 0, so no recurrence relation for Gamma function needed at all, because modulus of Gamma(0) tends to infinity PS! I was also right at the...
3. ### Why 1/(r^3) exp. value for H-atom diverges for 1s state? please respond before Jan 6

Yeah, I knew it would settle down for Gamma function. If I got it then: When to reparametrize r=r0t and calculate, we get the definition of Gamma function. Because in my problem, n was -1, I would have to calculate Gamma(-1). It's modulus is +infinity, because Gamma(n)= [Gamma(n+2)]/[n*(n+1)]...
4. ### Why 1/(r^3) exp. value for H-atom diverges for 1s state? please respond before Jan 6

Hydrogen atom: 1/(r^2 )2p state constant problem //1/(r^3) exp. value Homework Statement Hello, I am new to this forum. I hope it is all right I uploaded problems as image files (in handwriting). I calculated all (r^(-1), r^(-2) and r^(-3) expectation values for Hydrogen atom for 1s and...