Spectroscopic Notation - Byu Physics And Astronomy Page 4
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1
2
3
4comments are perhaps in order.
1. The number of arrangements for each term is equal to the number of states for the term.
3
3
For example, the
term has nine arrangements in Table 1. For the
level, there are five
2
3
sub-levels,
= 2 1 0
1
2. For the
level, there are three sub-levels,
= 1 0
1.
1
3
For the
level, there is one sub level,
= 0. The total is 9 levels.
0
2. The proper way to find the sub-levels belonging to a particular term is to start with the
“pure” state
= 1
= 1
= 1
= 1 and to apply the lowering operator
+
.
1
2
1
2
1
2
With proper normalization, this will give the
= 2
= 1, and
= 0 state as a linear
combination of the two states that have
= 1 and
= 0, with appropriate Clebsch-
Gordon coefficients.
4
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