Slide 3
Slide 3 text
Time Independent Schr¨
odinger Equation
The problem reduces to solving the time independent Schr¨
odinger equation for the above
Hamiltonian.
p2
2µ
−
Ze2
4πr
ψnlm = Enψnlm
(3)
Solving for this equation gives the energy levels of hydrogenic atoms En, and and
corresponding wavefunctions ψnlm
.
The energy levels only depend on the principle quantum number n, whereas the
wavefunctions also depend on the orbital angular momentum quantum number l
(l = 0, 1, ...n − 1) and magnetic quantum number m (m = −l, −l + 1, ..., +l − 1, +l).
Michael Papasimeon Hydrogenic Atoms April 16, 1998 3 / 33