We can seperate the wave function of an hydrogen atom in a radial and an angle part:
$$
\phi_{n,l,m} (\mathbf{r}) = R_{n,l,m}(r) Y_{l,m}(\vartheta,\varphi) \, ,
$$
where $Y_{l,m}$ are the spherical harmonics.
My question is: How does this look like in momentum space? Is the general form preserved? Do we get as well a radial and an angle dependent part?
Asked
Active
Viewed 6,407 times
3
DaP
- 358
1 Answers
3
To get it in the momentum representation, one has to do the Fourier transform of this function. This reference can be useful:
http://forum.sci.ccny.cuny.edu/Members/lombardi/publications/MOMREP-H-atom.pdf/view
At the end, separation of variables after transformation to the momentum space is not trivial, and the mixing of quantum number is presented.
freude
- 1,747