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Multiple choice
Starting from the ground state
∣
0
⟩
|0\rangle
∣0
⟩
, the raising operator is applied three times:
a
†
a
†
a
†
∣
0
⟩
a^\dagger a^\dagger a^\dagger |0\rangle
a
†
a
†
a
†
∣0
⟩
. Using
a
†
∣
n
⟩
=
n
+
1
∣
n
+
1
⟩
a^\dagger|n\rangle = \sqrt{n+1}|n+1\rangle
a
†
∣
n
⟩
=
n
+
1
∣
n
+
1
⟩
, what is the accumulated coefficient (the norm of the resulting unnormalized state)?
🔬 try it before you answer
3
\sqrt{3}
3
≈ 1.732
6
\sqrt{6}
6
≈ 2.449
6
3
Check answer