another part of this question is if the eigen function a parity operator...
I know that under parity operation r -> -r
(r,\theta, \phi) -> (r, pi - \theta, \phi + pi)
I think it is a parity operator unless I'm not really understanding it. Am I wrong?
for part (a), i know i would subtract part (b) from 1... but i want to do that actual math.
Does the integral remain the same and just change the limit of integration from 0 to a0 ?
Sorry I didnt know how to edit my post... and I only reposted because I realize it was suppose to be in the homework section. Yes I know they depend on all three variables.
\psi100 (r,\theta, \phi) = \frac{exp(-r/a)}{\sqrt{pi*a3}}
then i took the square of that and put it in an integral in...
I know that if the subscripts are different then the int of
\psi* \psi =0
I got something crazy for
\psi322
but I was able to get the other 2 states. Am I suppose to integrate in terms of r from 0 to \infty ?
Thank you.
Oh you grey earl... totally forgot 1-P ...
Vela so part (b) is incorrect? This is how I got the answer...
Since a0 = bohr radius
then the prob of the electron being found in classically forbidden region is (r>2a0)
Then I took the integral of r2 exp(-2r/a0) (4/a0) from 2a0 to infinity...
Any region of space in which the kinetic energy T of a particle would become negative is forbidden for classical motion. For a hydrogen atom in the ground state:
(a) find the classically forbidden region
(b) using the ground-state wave function \psi100(r), calculate the probability of finding...
Consider a hydrogen atom whose wave function is at t=0 is the following superposition of energy eigenfunctions \psinlm(r)
\Psi(r, t=0) = \frac{1}{\sqrt{14}}*[2\psi100(r) -3\psi200(r) +\psi322(r)
What is the probability of finding the system in the ground state (100? in the state (200)? in...
Consider a hydrogen atom whose wave function is at t=0 is the following superposition of energy eigenfunctions nlm(r)
(r, t=0) = *[2100(r) -3200(r) +322(r)
What is the probability of finding the system in the ground state (100? in the state (200)? in the state (322)? In another energy...
Consider a hydrogen atom whose wave function is at t=0 is the following superposition of energy eigenfunctions \psinlm(r)
\Psi(r, t=0) = \frac{1}{\sqrt{14}} *[2\psi100(r) -3\psi200(r) +\psi322(r)
What is the probability of finding the system in the ground state (100? in the state (200)? in...