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Multiple choice
The harmonic-oscillator Hamiltonian is
H
=
a
†
a
+
1
/
2
H = a^\dagger a + 1/2
H
=
a
†
a
+
1/2
(in units of
ℏ
ω
\hbar\omega
ℏ
ω
). What is the ground-state energy
E
0
=
⟨
0
∣
H
∣
0
⟩
E_0 = \langle 0| H |0\rangle
E
0
=
⟨
0∣
H
∣0
⟩
?
🔬 try it before you answer
1
0
3/2 = 1.5
1/2 = 0.5
Check answer