PH 216, Midterm, 2011
Instructions:
Your solutions are due
Saturday at 9 AM
, via email or in my office (I should be present
on Saturday morning, but if you want to drop it friday night, or miss me, you can slip it
under the door.) Late midterms will not be accepted except in case of natural catastrophe
or national emergency.
Feel free to consult any written (paper and ink) sources, but not computers or other
people. I’ve made every effort to keep ambiguity out of the questions, but if some remains
for you, I will try to remove it; please email ([email protected]) or feel free to call
(325-6832 between 8 am and 9 pm).
1. An electron moves in Coulomb field centered at the origin of coordinates. With neglect
of spin and relativistic corrections, the first excited state (
n
= 2) is 4-fold degenerate:
l
= 0
, m
= 0;
l
= 1
, m
=
±
1
,
0. Consider what happens to this level in the presence of
an additional non-central potentail
V
0
=
f
(
r
)
xy
, where
f
(
r
) is some central function,
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- Spring '09
- distinct energy levels, bound state, best upper bound, dx finite
-
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