- #1
tuomas22
- 20
- 0
Sorry in advance my english, I tried to translate it to english as good as I can
When [tex]l[/tex] has its maximum value, the hydrogen atom radial equation has a simple form of
R(r) = Arn-1e-r/na0, where a0 is Bohr's radius.
Write the respective radial schrödinger equation.
Radial Schrödinger Equation:
[tex]-\frac{\hbar^2}{2*\mu*r^2}*\frac{d}{dr}(r^2*\frac{dR(r)}{dr})+\left[-\frac{kZe^2}{r}+\frac{\hbar^2*l(l+1)}{2*\mu*r^2}\right]*R(r) = ER(r)[/tex]
I've attempted substituting the given R(r) to the radial equation, but I can't get anything out of it that makes sense. Too long to write it here with this hard latex thing :S
Should I get some nice reduced form or can I expect some equation monster?
Homework Statement
When [tex]l[/tex] has its maximum value, the hydrogen atom radial equation has a simple form of
R(r) = Arn-1e-r/na0, where a0 is Bohr's radius.
Write the respective radial schrödinger equation.
Homework Equations
Radial Schrödinger Equation:
[tex]-\frac{\hbar^2}{2*\mu*r^2}*\frac{d}{dr}(r^2*\frac{dR(r)}{dr})+\left[-\frac{kZe^2}{r}+\frac{\hbar^2*l(l+1)}{2*\mu*r^2}\right]*R(r) = ER(r)[/tex]
The Attempt at a Solution
I've attempted substituting the given R(r) to the radial equation, but I can't get anything out of it that makes sense. Too long to write it here with this hard latex thing :S
Should I get some nice reduced form or can I expect some equation monster?