|q⟩
Bad Qubits
Play
Quest
Questions
Learn
Playground
☕
← Question Bank
Multiple choice
Two angular momenta with
j
1
=
1
j_1 = 1
j
1
=
1
and
j
2
=
1
/
2
j_2 = 1/2
j
2
=
1/2
are coupled. The allowed total-J values run from
∣
j
1
−
j
2
∣
|j_1 - j_2|
∣
j
1
−
j
2
∣
to
j
1
+
j
2
j_1 + j_2
j
1
+
j
2
in integer steps, and the combined space has dimension equal to the sum of
(
2
J
+
1
)
(2J+1)
(
2
J
+
1
)
over those J. What is that total dimension?
4
(
=
2
J
+
1
4 (= 2J+1
4
(
=
2
J
+
1
for
J
=
3
/
2
J=3/2
J
=
3/2
only)
9
2 (number of allowed J values)
6
Check answer