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Multiple choice
Fermi's Golden Rule gives the transition rate
W
=
(
2
π
/
ℏ
)
∣
V
f
i
∣
2
ρ
W = (2\pi/\hbar)|V_{fi}|^2 \rho
W
=
(
2
π
/ℏ
)
∣
V
f
i
∣
2
ρ
. With
ℏ
=
1
\hbar = 1
ℏ
=
1
,
V
f
i
=
0.1
V_{fi} = 0.1
V
f
i
=
0.1
, and density of final states
ρ
=
50
\rho = 50
ρ
=
50
, what is
W
W
W
?
2
π
≈
6.283
2\pi \approx 6.283
2
π
≈
6.283
(forgot to square
V
f
i
V_{fi}
V
f
i
)
π
≈
3.1416
\pi \approx 3.1416
π
≈
3.1416
π
/
10
≈
0.314
\pi/10 \approx 0.314
π
/10
≈
0.314
(dropped a factor of 10)
10
π
≈
31.42
10\pi \approx 31.42
10
π
≈
31.42
Check answer