Quiz #6:
Atomic Physics
April 7, 2008
Name: _____SOLUTIONS____
Complete both of the following problems.
Show all of your work for full credit.
Problem 1
Some quantum system has an orbital angular momentum L characterized with the quantum
number
l
= 1, and spin momentum S with the quantum number
s
= 3/2. Find all possible
quantum
numbers
j
for the total momentum J of this system and
all possible magnetic quantum numbers.
Sketch the energy diagram
for this system: before spinorbit splitting, after spinorbit splitting,
after additional application of external magnetic field.
l
=1,
s
=3/2
j
= 1/2
j
= 3/2
j
= 5/2
5/2
m
j
Spinorbit
B
≠
0
3/2
1/2
1/2
3/2
5/2
3/2
1/2
1/2
3/2
1/2
1/2
Problem 2
Given electron #1 in the state with
s
1
=
½ and
l
1
= 3 and electron #2 in the state with s
2
=
½ and
l
2
= 0, find all possible quantum numbers
j
for the system containing these two electrons. Use any
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 Spring '04
 Baski
 Physics, Angular Momentum, Momentum, Work, stot, possible quantum numbers

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