Homework Statement
in the first part of the problem we were told to estimate the lowest energy of a electron in a hydrogen atom for a certain orbital angular momentum l by evaluating the equation for effective potential at it's minimum. That is to say that for any given l the minimum energy...
To expand on this a bit, how would one go about using the time-independent Schrodinger equation to prove that there are no states with both definite energy and definite orbital angular momentum magnitude?
by a 3d box I mean a potential well such that V(x,y,z) = 0 for -a/2 < x < a/2, -b/2 < y < b/2, and -c/2 < z < c/2; or V -> infinity otherwise
edit: glad you like the screen name :-)
This is more of a conceptual question. I'm looking for a "physical argument" as to why the angular momentum of a classical particle about the center of a 3d box wouldn't be conserved, as opposed to spherical well in which orbital angular momentum is a constant.
Homework Statement
I'm having some trouble working out the math for the D-lines in the sodium spectrum. Now the measured wavelengths are 5889.96 angstroms and 5895.93 angstroms. It's easy enough to find the energy difference between these to be .00213 eV. Now I'm supposed to be able to...
So I'm in an intro quantum physics course, and while I'm sure this is a really simple problem, I'm just not getting the math to work out here.
Say you excite the atoms of some gas such that they emit light at a wavelength of 5500 angstroms as they fall back to the ground state. Now if the...